Atkin-Lehner |
3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075u |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-4716568839404296875 = -1 · 3 · 511 · 7 · 115 · 134 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11+ 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-929258,360583418] |
[a1,a2,a3,a4,a6] |
Generators |
[532:-4063:1] |
Generators of the group modulo torsion |
j |
-5679538912157003776/301860405721875 |
j-invariant |
L |
3.0813549368062 |
L(r)(E,1)/r! |
Ω |
0.24106382616721 |
Real period |
R |
0.79889499191781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015r1 |
Quadratic twists by: 5 |