Atkin-Lehner |
2+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280m |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
8831526502400 = 230 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12332,-507344] |
[a1,a2,a3,a4,a6] |
Generators |
[-430:117:8] |
Generators of the group modulo torsion |
j |
791196465249/33689600 |
j-invariant |
L |
4.989579779994 |
L(r)(E,1)/r! |
Ω |
0.45423637114498 |
Real period |
R |
5.4922723945279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280bg1 3290f1 |
Quadratic twists by: -4 8 |