Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020b |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
1369716717600000 = 28 · 33 · 55 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115248,14953428] |
[a1,a2,a3,a4,a6] |
Generators |
[834:16143:8] |
Generators of the group modulo torsion |
j |
4248502272/34375 |
j-invariant |
L |
5.9999165176023 |
L(r)(E,1)/r! |
Ω |
0.48350677810191 |
Real period |
R |
6.2045836881633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020o1 97020x1 |
Quadratic twists by: -3 -7 |