Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300g |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-62889750000 = -1 · 24 · 33 · 56 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,975,-2875] |
[a1,a2,a3,a4,a6] |
Generators |
[4:33:1] |
Generators of the group modulo torsion |
j |
15185664/9317 |
j-invariant |
L |
5.0861483952095 |
L(r)(E,1)/r! |
Ω |
0.63987583125936 |
Real period |
R |
1.3247748354959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69300c2 2772d1 |
Quadratic twists by: -3 5 |