Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020w |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
961078856363010000 = 24 · 39 · 54 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296352,40387221] |
[a1,a2,a3,a4,a6] |
Generators |
[687:12690:1] |
Generators of the group modulo torsion |
j |
226492416/75625 |
j-invariant |
L |
7.9108467042129 |
L(r)(E,1)/r! |
Ω |
0.25667527420856 |
Real period |
R |
3.8525558817496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020d1 97020j1 |
Quadratic twists by: -3 -7 |