Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bb |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
8932257206998272 = 28 · 314 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92724,-9901620] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:972:1] |
Generators of the group modulo torsion |
j |
7028599954926928/712074075813 |
j-invariant |
L |
8.8666493034326 |
L(r)(E,1)/r! |
Ω |
0.27537772489113 |
Real period |
R |
1.1499334090644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328e1 124656a1 |
Quadratic twists by: -4 -7 |