Atkin-Lehner |
2+ 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150j |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
11594680000000000 = 212 · 510 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-195950,-33063500] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:751:1] [-244:666:1] |
Generators of the group modulo torsion |
j |
85204579066225/1187295232 |
j-invariant |
L |
5.7417190047002 |
L(r)(E,1)/r! |
Ω |
0.22710636144685 |
Real period |
R |
4.2136783899577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150bn1 |
Quadratic twists by: 5 |