Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690w |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
2000202862500 = 22 · 38 · 55 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17514,893920] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:680:1] [26:662:1] |
Generators of the group modulo torsion |
j |
33417362861/112500 |
j-invariant |
L |
8.0637318097061 |
L(r)(E,1)/r! |
Ω |
0.83233931776221 |
Real period |
R |
0.48440171199199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230q1 75690br1 |
Quadratic twists by: -3 29 |