Atkin-Lehner |
3- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114513o |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2325120 |
Modular degree for the optimal curve |
Δ |
-9.523599799975E+19 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-593847,-501675100] |
[a1,a2,a3,a4,a6] |
Generators |
[1194:22201:1] |
Generators of the group modulo torsion |
j |
-81991294615552/337148115939 |
j-invariant |
L |
3.9775831025434 |
L(r)(E,1)/r! |
Ω |
0.078366158316135 |
Real period |
R |
1.2689096804571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114513a1 |
Quadratic twists by: -7 |