Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020o |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
998523487130400000 = 28 · 39 · 55 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1037232,-403742556] |
[a1,a2,a3,a4,a6] |
Generators |
[-612:1350:1] |
Generators of the group modulo torsion |
j |
4248502272/34375 |
j-invariant |
L |
6.4412870529861 |
L(r)(E,1)/r! |
Ω |
0.14967266826146 |
Real period |
R |
1.4345275637435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020b1 97020e1 |
Quadratic twists by: -3 -7 |