Atkin-Lehner |
2- 3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630s |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4153344 |
Modular degree for the optimal curve |
Δ |
4383904970840625000 = 23 · 319 · 58 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2680358,1686692877] |
[a1,a2,a3,a4,a6] |
Generators |
[815:6153:1] |
Generators of the group modulo torsion |
j |
2921288467764892682521/6013587065625000 |
j-invariant |
L |
7.3233602848872 |
L(r)(E,1)/r! |
Ω |
0.2458841607539 |
Real period |
R |
1.2409909190298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36210f1 |
Quadratic twists by: -3 |