Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664b |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
59874870272 = 210 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8248,-290844] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1280:1] |
Generators of the group modulo torsion |
j |
515150500/497 |
j-invariant |
L |
4.2608335476038 |
L(r)(E,1)/r! |
Ω |
0.50099473143147 |
Real period |
R |
4.2523736082418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27832b1 7952a1 |
Quadratic twists by: -4 -7 |