Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840cq |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
95800320 |
Modular degree for the optimal curve |
Δ |
8.8150519896667E+26 |
Discriminant |
Eigenvalues |
2- 1 5- -4 11- 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3045971760,-64690108562092] |
[a1,a2,a3,a4,a6] |
Generators |
[105586:28121600:1] |
Generators of the group modulo torsion |
j |
3559589366328163617361/1003976272000000 |
j-invariant |
L |
7.4048899389583 |
L(r)(E,1)/r! |
Ω |
0.020322420690192 |
Real period |
R |
2.1688718239936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730bc1 125840ch1 |
Quadratic twists by: -4 -11 |