Atkin-Lehner |
3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915q |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
56744415945 = 39 · 5 · 73 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8559,-302432] |
[a1,a2,a3,a4,a6] |
j |
95124810494449/77838705 |
j-invariant |
L |
2.9782695653984 |
L(r)(E,1)/r! |
Ω |
0.49637826089973 |
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 |
4305c1 64575i1 90405x1 |
Quadratic twists by: -3 5 -7 |