Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cy |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-5426913072 = -1 · 24 · 3 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457,5018] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:2548:27] |
Generators of the group modulo torsion |
j |
-5619712/2883 |
j-invariant |
L |
9.4467430627499 |
L(r)(E,1)/r! |
Ω |
1.2627719181068 |
Real period |
R |
3.7404787539897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228c1 1488i1 |
Quadratic twists by: -4 -7 |