Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020f |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
8221724597394000 = 24 · 33 · 53 · 712 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50568,353633] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1029:1] |
Generators of the group modulo torsion |
j |
281370820608/161767375 |
j-invariant |
L |
5.3034892873791 |
L(r)(E,1)/r! |
Ω |
0.35360100829527 |
Real period |
R |
2.499752148213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020y3 13860f1 |
Quadratic twists by: -3 -7 |