Atkin-Lehner |
2+ 3+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258c |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
57342765376512 = 210 · 33 · 74 · 114 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-485375,-130357947] |
[a1,a2,a3,a4,a6] |
Generators |
[3301:183419:1] |
Generators of the group modulo torsion |
j |
12646120649395983765625/57342765376512 |
j-invariant |
L |
3.1542884404017 |
L(r)(E,1)/r! |
Ω |
0.1808756919055 |
Real period |
R |
4.3597461980265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774ci1 |
Quadratic twists by: -3 |