Atkin-Lehner |
5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11515a |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30576 |
Modular degree for the optimal curve |
Δ |
-994878547578125 = -1 · 57 · 78 · 472 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15314,1682461] |
[a1,a2,a3,a4,a6] |
j |
-68891327449/172578125 |
j-invariant |
L |
0.87378544985982 |
L(r)(E,1)/r! |
Ω |
0.43689272492991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635bd1 57575a1 11515i1 |
Quadratic twists by: -3 5 -7 |