Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dg |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
30122929687500 = 22 · 33 · 510 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19805,1044697] |
[a1,a2,a3,a4,a6] |
j |
114075/4 |
j-invariant |
L |
2.6270420987869 |
L(r)(E,1)/r! |
Ω |
0.65676053096188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050b1 76050r1 76050a1 |
Quadratic twists by: -3 5 13 |