Atkin-Lehner |
2- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328q |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21440 |
Modular degree for the optimal curve |
Δ |
-24915968 = -1 · 212 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-595] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1369:1] |
Generators of the group modulo torsion |
j |
-64000000/6083 |
j-invariant |
L |
3.4032569155335 |
L(r)(E,1)/r! |
Ω |
0.6987068523093 |
Real period |
R |
4.8707936728674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083f1 |
Quadratic twists by: -4 |