Atkin-Lehner |
2- 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608p |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-106680025088 = -1 · 221 · 7 · 132 · 43 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-627088,-190926400] |
[a1,a2,a3,a4,a6] |
Generators |
[142197086:15335583146:12167] |
Generators of the group modulo torsion |
j |
-6658094075293284625/26044928 |
j-invariant |
L |
4.6485393595774 |
L(r)(E,1)/r! |
Ω |
0.084827638837301 |
Real period |
R |
13.699955061192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826l1 |
Quadratic twists by: -4 |