Atkin-Lehner |
2+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23320b |
Isogeny class |
Conductor |
23320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
8208640 = 28 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,378] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] [-2:24:1] |
Generators of the group modulo torsion |
j |
472058064/32065 |
j-invariant |
L |
7.1278098456958 |
L(r)(E,1)/r! |
Ω |
2.286136124638 |
Real period |
R |
3.1178413957415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46640e1 116600o1 |
Quadratic twists by: -4 5 |