Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192be |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-74717130129408 = -1 · 228 · 33 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6213,-370710] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2288:1] |
Generators of the group modulo torsion |
j |
239830305597/675610624 |
j-invariant |
L |
5.1750435580173 |
L(r)(E,1)/r! |
Ω |
0.31483428919249 |
Real period |
R |
4.1093392086516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274o1 114192bd1 |
Quadratic twists by: -4 -3 |