Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304h |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-3884976 = -1 · 24 · 33 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6,95] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
-55296/8993 |
j-invariant |
L |
4.0492411576035 |
L(r)(E,1)/r! |
Ω |
2.0280101185748 |
Real period |
R |
1.9966572752482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28152d1 56304b1 |
Quadratic twists by: -4 -3 |