Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302bq |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
-1136123644825728 = -1 · 27 · 33 · 139 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -6 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158216,-24237365] |
[a1,a2,a3,a4,a6] |
Generators |
[673:12845:1] |
Generators of the group modulo torsion |
j |
-3360844835739/8717696 |
j-invariant |
L |
5.2071191769449 |
L(r)(E,1)/r! |
Ω |
0.11967121298346 |
Real period |
R |
0.776997814533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302i1 7254b1 |
Quadratic twists by: -3 13 |