Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bo |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-11800687500000 = -1 · 25 · 36 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25223,-1544353] |
[a1,a2,a3,a4,a6] |
Generators |
[201:1114:1] |
Generators of the group modulo torsion |
j |
-2434278488702761/16187500000 |
j-invariant |
L |
7.6220609810255 |
L(r)(E,1)/r! |
Ω |
0.18934296139712 |
Real period |
R |
4.0255317254911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2590c1 116550bj1 |
Quadratic twists by: -3 5 |