Atkin-Lehner |
11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49379a |
Isogeny class |
Conductor |
49379 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2255220 |
Modular degree for the optimal curve |
Δ |
-6.5397605538175E+19 |
Discriminant |
Eigenvalues |
0 3 1 4 11+ -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1203052,-639798092] |
[a1,a2,a3,a4,a6] |
Generators |
[63642472925172130946143768586958356975283201501040256340872085187137970644164026411449917712237074454:1861001434495179470050141991772937737613451066778195418307166762254726361457067021708929961576133948892:36348612837821060554242694924893585087949588549495102395349734925852482153926237600757732896740827] |
Generators of the group modulo torsion |
j |
-474218496/161051 |
j-invariant |
L |
11.164145563774 |
L(r)(E,1)/r! |
Ω |
0.070860359261185 |
Real period |
R |
157.55135424341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49379d1 |
Quadratic twists by: -67 |