Atkin-Lehner |
2+ 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680d |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
252166400 = 28 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383,2782] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:62:1] |
Generators of the group modulo torsion |
j |
24270575184/985025 |
j-invariant |
L |
5.9564321830605 |
L(r)(E,1)/r! |
Ω |
1.7358563594131 |
Real period |
R |
1.7157042225908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50840i1 |
Quadratic twists by: -4 |