Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15372c |
Isogeny class |
Conductor |
15372 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
58092878592 = 28 · 312 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20415,1122662] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:486:1] [7:990:1] |
Generators of the group modulo torsion |
j |
5042017762000/311283 |
j-invariant |
L |
6.5289578894226 |
L(r)(E,1)/r! |
Ω |
1.0552382087781 |
Real period |
R |
2.0623962233077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61488bs2 5124a2 107604n2 |
Quadratic twists by: -4 -3 -7 |