Atkin-Lehner |
2- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
35650j |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
713000000 = 26 · 56 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-438,-3469] |
[a1,a2,a3,a4,a6] |
Generators |
[435:8857:1] |
Generators of the group modulo torsion |
j |
594823321/45632 |
j-invariant |
L |
12.320444058232 |
L(r)(E,1)/r! |
Ω |
1.0486479717593 |
Real period |
R |
3.916294883198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426d1 |
Quadratic twists by: 5 |