Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020cm |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-1868337296769691440 = -1 · 24 · 314 · 5 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,121128,63730429] |
[a1,a2,a3,a4,a6] |
Generators |
[23842:1311975:8] |
Generators of the group modulo torsion |
j |
143225913344/1361505915 |
j-invariant |
L |
7.694376169098 |
L(r)(E,1)/r! |
Ω |
0.19342650815759 |
Real period |
R |
4.9724157804331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bf1 13860m1 |
Quadratic twists by: -3 -7 |