Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675u |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-14548359375 = -1 · 34 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-776,10073] |
[a1,a2,a3,a4,a6] |
j |
-3301293169/931095 |
j-invariant |
L |
4.7417246846015 |
L(r)(E,1)/r! |
Ω |
1.1854311711504 |
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 |
47025w1 3135a1 |
Quadratic twists by: -3 5 |