Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430bj |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
35834680591257600 = 212 · 312 · 52 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-327411,-71558559] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:297:1] |
Generators of the group modulo torsion |
j |
3881535780129248365489/35834680591257600 |
j-invariant |
L |
8.336171820054 |
L(r)(E,1)/r! |
Ω |
0.1996954713871 |
Real period |
R |
1.7393508730548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
115440br1 43290ba1 72150c1 |
Quadratic twists by: -4 -3 5 |