Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330bg |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-24758536776130560 = -1 · 213 · 3 · 5 · 139 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -5 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102249,-14694548] |
[a1,a2,a3,a4,a6] |
Generators |
[42186:1607969:27] |
Generators of the group modulo torsion |
j |
-24492589315921/5129379840 |
j-invariant |
L |
2.7338919823692 |
L(r)(E,1)/r! |
Ω |
0.13200930658226 |
Real period |
R |
5.1774606920302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410w1 |
Quadratic twists by: 13 |