Atkin-Lehner |
5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325w |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
14393933125 = 54 · 116 · 13 |
Discriminant |
Eigenvalues |
-2 1 5- -2 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-61508,5850994] |
[a1,a2,a3,a4,a6] |
Generators |
[128:302:1] [137:120:1] |
Generators of the group modulo torsion |
j |
23242854400/13 |
j-invariant |
L |
5.244337522326 |
L(r)(E,1)/r! |
Ω |
1.0279068534305 |
Real period |
R |
0.85032632169362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39325e2 325d1 |
Quadratic twists by: 5 -11 |