Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cq |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-71526886527096 = -1 · 23 · 312 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5724,-372632] |
[a1,a2,a3,a4,a6] |
j |
241804367/833976 |
j-invariant |
L |
0.62702269516263 |
L(r)(E,1)/r! |
Ω |
0.31351150433084 |
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 |
42042cb1 2574o1 |
Quadratic twists by: -3 -7 |