Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020cs |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-9173934538010550000 = -1 · 24 · 310 · 55 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,295323,-131985371] |
[a1,a2,a3,a4,a6] |
j |
864545024/2784375 |
j-invariant |
L |
3.5385053159954 |
L(r)(E,1)/r! |
Ω |
0.1179501747714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340ba1 97020bd1 |
Quadratic twists by: -3 -7 |