Atkin-Lehner |
3- 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62415g |
Isogeny class |
Conductor |
62415 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
-8.6309738227507E+21 |
Discriminant |
Eigenvalues |
2 3- 5- 4 2 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5073423,-795448265] |
[a1,a2,a3,a4,a6] |
Generators |
[4863074:3791615621:8] |
Generators of the group modulo torsion |
j |
19810680964391388041216/11839470264404296875 |
j-invariant |
L |
16.281832705211 |
L(r)(E,1)/r! |
Ω |
0.0761154145288 |
Real period |
R |
8.9129081179062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20805b1 |
Quadratic twists by: -3 |