Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690h |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
4583645757765634500 = 22 · 312 · 53 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-435375,-40088039] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:7703:1] [-914:23299:8] |
Generators of the group modulo torsion |
j |
21047437081/10570500 |
j-invariant |
L |
6.3154375381595 |
L(r)(E,1)/r! |
Ω |
0.19587400459264 |
Real period |
R |
4.0302933199928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230u1 2610l1 |
Quadratic twists by: -3 29 |