Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150cp |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
239829562500 = 22 · 3 · 56 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1563,3117] |
[a1,a2,a3,a4,a6] |
Generators |
[574:3805:8] |
Generators of the group modulo torsion |
j |
27027009001/15349092 |
j-invariant |
L |
12.984231129078 |
L(r)(E,1)/r! |
Ω |
0.85023994803882 |
Real period |
R |
2.5452091806643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046d1 |
Quadratic twists by: 5 |