Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020ce |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
485080297954560 = 28 · 315 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19992,-246764] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:729:1] |
Generators of the group modulo torsion |
j |
1972117504/1082565 |
j-invariant |
L |
8.318581510965 |
L(r)(E,1)/r! |
Ω |
0.42919426105298 |
Real period |
R |
1.615154698781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340v1 97020br1 |
Quadratic twists by: -3 -7 |