Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320bx |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
737193960000 = 26 · 38 · 54 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7977,-271096] |
[a1,a2,a3,a4,a6] |
Generators |
[113:520:1] |
Generators of the group modulo torsion |
j |
1203192139456/15800625 |
j-invariant |
L |
7.1768699207607 |
L(r)(E,1)/r! |
Ω |
0.50557400202198 |
Real period |
R |
3.5488721193901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000701 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76320bw1 25440b1 |
Quadratic twists by: -4 -3 |