Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675g |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
196560 |
Modular degree for the optimal curve |
Δ |
-4038823003388671875 = -1 · 3 · 510 · 1310 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-371888,130109156] |
[a1,a2,a3,a4,a6] |
Generators |
[4071158:165401536:2197] |
Generators of the group modulo torsion |
j |
-4225/3 |
j-invariant |
L |
2.9040462517805 |
L(r)(E,1)/r! |
Ω |
0.22768951204098 |
Real period |
R |
12.754413788097 |
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 |
38025bg1 12675bg1 12675c1 |
Quadratic twists by: -3 5 13 |