Atkin-Lehner |
2+ 3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34362b |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
1243075313664 = 220 · 33 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3768,72000] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1146:1] |
Generators of the group modulo torsion |
j |
219158067222171/46039826432 |
j-invariant |
L |
4.5454264528893 |
L(r)(E,1)/r! |
Ω |
0.81543488147526 |
Real period |
R |
2.7871179882973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34362f1 |
Quadratic twists by: -3 |