Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bf |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
204992294062500 = 22 · 311 · 57 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43317,3411841] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:2033:1] |
Generators of the group modulo torsion |
j |
789145184521/17996580 |
j-invariant |
L |
4.0988599309538 |
L(r)(E,1)/r! |
Ω |
0.56282732536889 |
Real period |
R |
0.91032803156809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bm1 14490bo1 |
Quadratic twists by: -3 5 |