Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675bg |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39312 |
Modular degree for the optimal curve |
Δ |
-258484672216875 = -1 · 3 · 54 · 1310 |
Discriminant |
Eigenvalues |
1 3- 5- -3 2 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,1040873] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1116:1] |
Generators of the group modulo torsion |
j |
-4225/3 |
j-invariant |
L |
6.1098558139485 |
L(r)(E,1)/r! |
Ω |
0.50912922668738 |
Real period |
R |
4.0001997486977 |
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 |
38025cl1 12675g1 12675bi1 |
Quadratic twists by: -3 5 13 |