Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
25280q |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-129433600 = -1 · 216 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,528] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:16:1] |
Generators of the group modulo torsion |
j |
237276/1975 |
j-invariant |
L |
4.9813383189935 |
L(r)(E,1)/r! |
Ω |
1.3536145076222 |
Real period |
R |
1.8400136416031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25280a1 6320c1 126400bu1 |
Quadratic twists by: -4 8 5 |