Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020cf |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
2471040 |
Modular degree for the optimal curve |
Δ |
-2.2022830920234E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3197397,-2313540439] |
[a1,a2,a3,a4,a6] |
Generators |
[2632:86625:1] |
Generators of the group modulo torsion |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
7.1240022282317 |
L(r)(E,1)/r! |
Ω |
0.056252377059515 |
Real period |
R |
0.38376841419254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780a1 97020bs1 |
Quadratic twists by: -3 -7 |