Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600cn |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2583393750000 = -1 · 24 · 310 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,-210625] |
[a1,a2,a3,a4,a6] |
Generators |
[421:8469:1] |
Generators of the group modulo torsion |
j |
-6288640/567 |
j-invariant |
L |
4.9995422082545 |
L(r)(E,1)/r! |
Ω |
0.26578087298231 |
Real period |
R |
4.7026918755993 |
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 |
25200cc1 100800ic1 4200i1 12600o1 |
Quadratic twists by: -4 8 -3 5 |