Atkin-Lehner |
2- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030w |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
476 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-25200834560000000 = -1 · 217 · 57 · 113 · 432 |
Discriminant |
Eigenvalues |
2- -3 5- -1 11+ -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3807,7639239] |
[a1,a2,a3,a4,a6] |
Generators |
[707:18566:1] [-173:1846:1] |
Generators of the group modulo torsion |
j |
-4583395507131/18933760000000 |
j-invariant |
L |
9.0390633918553 |
L(r)(E,1)/r! |
Ω |
0.3027691645637 |
Real period |
R |
0.062719824860137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52030g1 |
Quadratic twists by: -11 |