Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872r |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-15532587577584 = -1 · 24 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,189503] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:441:1] |
Generators of the group modulo torsion |
j |
-12967168/8251551 |
j-invariant |
L |
8.0785307517376 |
L(r)(E,1)/r! |
Ω |
0.56539178479798 |
Real period |
R |
1.0205983290765 |
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 |
12936u1 103488gs1 77616cp1 3696a1 |
Quadratic twists by: -4 8 -3 -7 |