Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264bf |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-670016 = -1 · 26 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -1 -3 2 3 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,-674] |
[a1,a2,a3,a4,a6] |
Generators |
[15:14:1] |
Generators of the group modulo torsion |
j |
-6108415552/10469 |
j-invariant |
L |
4.1873847319261 |
L(r)(E,1)/r! |
Ω |
0.67940104685845 |
Real period |
R |
3.0816737413701 |
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 |
35264s1 17632a1 |
Quadratic twists by: -4 8 |