Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11270u |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
400801907240000 = 26 · 54 · 77 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -6 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90210,-10421713] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:33271:1] |
Generators of the group modulo torsion |
j |
690080604747409/3406760000 |
j-invariant |
L |
9.4727966841276 |
L(r)(E,1)/r! |
Ω |
0.27555919233578 |
Real period |
R |
0.4774532088647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160cu1 101430be1 56350i1 1610e1 |
Quadratic twists by: -4 -3 5 -7 |