Atkin-Lehner |
2+ 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022a |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
707476112 = 24 · 72 · 293 · 37 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18791,989850] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:1430:1] [-65:1424:1] |
Generators of the group modulo torsion |
j |
733736571525483625/707476112 |
j-invariant |
L |
3.8930829966896 |
L(r)(E,1)/r! |
Ω |
1.3472752046056 |
Real period |
R |
8.6687923522518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
120176p1 105154g1 |
Quadratic twists by: -4 -7 |