Atkin-Lehner |
2- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
24332a |
Isogeny class |
Conductor |
24332 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
574128 |
Modular degree for the optimal curve |
Δ |
-9232923392 = -1 · 28 · 73 · 113 · 79 |
Discriminant |
Eigenvalues |
2- -3 4 7+ 11+ 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1846288,-965600060] |
[a1,a2,a3,a4,a6] |
Generators |
[1707302396540:-72419778022706:647214625] |
Generators of the group modulo torsion |
j |
-2718830215580440264704/36066107 |
j-invariant |
L |
4.0291311420858 |
L(r)(E,1)/r! |
Ω |
0.064758189344453 |
Real period |
R |
20.739364822028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97328bj1 |
Quadratic twists by: -4 |