Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400h |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
1952000 = 28 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -6 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95,350] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:8:1] [1:16:1] |
Generators of the group modulo torsion |
j |
2963088/61 |
j-invariant |
L |
7.3736207725511 |
L(r)(E,1)/r! |
Ω |
2.6258120533821 |
Real period |
R |
2.8081296843214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12200k1 97600cn1 24400g1 |
Quadratic twists by: -4 8 5 |