Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752ca |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
3564211154190336 = 222 · 313 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 0 1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115491,14831138] |
[a1,a2,a3,a4,a6] |
j |
57053285789473/1193647104 |
j-invariant |
L |
3.5521809254881 |
L(r)(E,1)/r! |
Ω |
0.44402261221746 |
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 |
9594h1 25584o1 |
Quadratic twists by: -4 -3 |