Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915j |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-10903074738300675 = -1 · 317 · 52 · 72 · 413 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 0 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33387,4441293] |
[a1,a2,a3,a4,a6] |
Generators |
[-542:10931:8] |
Generators of the group modulo torsion |
j |
5645837515526144/14956206774075 |
j-invariant |
L |
9.1062458866147 |
L(r)(E,1)/r! |
Ω |
0.28354252368227 |
Real period |
R |
2.0072487206582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4305n1 64575m1 90405by1 |
Quadratic twists by: -3 5 -7 |