Atkin-Lehner |
2+ 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888h |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-30199857264 = -1 · 24 · 36 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 -6 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,609,6037] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2601:1] |
Generators of the group modulo torsion |
j |
2141549312/2589151 |
j-invariant |
L |
4.3365798402762 |
L(r)(E,1)/r! |
Ω |
0.78657080963486 |
Real period |
R |
1.3783183248951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37944c1 8432f1 |
Quadratic twists by: -4 -3 |