Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190bd |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-373464985600 = -1 · 212 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5195,-149255] |
[a1,a2,a3,a4,a6] |
j |
-131794519969/3174400 |
j-invariant |
L |
6.738538412872 |
L(r)(E,1)/r! |
Ω |
0.28077243386966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520da1 75950o1 310b1 |
Quadratic twists by: -4 5 -7 |