Atkin-Lehner |
3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2115c |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
4282875 = 36 · 53 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 3 -3 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45,-50] |
[a1,a2,a3,a4,a6] |
j |
13997521/5875 |
j-invariant |
L |
1.9115151121513 |
L(r)(E,1)/r! |
Ω |
1.9115151121513 |
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 |
33840bz1 235a1 10575m1 103635bm1 |
Quadratic twists by: -4 -3 5 -7 |