Atkin-Lehner |
2+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728j |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1255947848848 = 24 · 75 · 115 · 29 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 11+ 5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110412,14084387] |
[a1,a2,a3,a4,a6] |
j |
9303717032993037568/78496740553 |
j-invariant |
L |
3.8746216838314 |
L(r)(E,1)/r! |
Ω |
0.77492433676436 |
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 |
17864c1 |
Quadratic twists by: -4 |