Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020c |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1325885782636800 = -1 · 28 · 33 · 52 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110103,14170702] |
[a1,a2,a3,a4,a6] |
Generators |
[191:-330:1] |
Generators of the group modulo torsion |
j |
-3704530032/33275 |
j-invariant |
L |
5.5687098739703 |
L(r)(E,1)/r! |
Ω |
0.48473156798733 |
Real period |
R |
0.95735286617542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004866 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97020p2 97020z1 |
Quadratic twists by: -3 -7 |