Atkin-Lehner |
5- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
115885j |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
417533727428125 = 55 · 710 · 11 · 43 |
Discriminant |
Eigenvalues |
2 -1 5- 7- 11+ -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-251680,-48504569] |
[a1,a2,a3,a4,a6] |
Generators |
[-146680:27919:512] |
Generators of the group modulo torsion |
j |
14985916673757184/3548978125 |
j-invariant |
L |
9.8468790320865 |
L(r)(E,1)/r! |
Ω |
0.21315396051643 |
Real period |
R |
4.619608706548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16555b1 |
Quadratic twists by: -7 |