Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202l |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-281412010989584384 = -1 · 220 · 7 · 138 · 47 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 3 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-740561,246311317] |
[a1,a2,a3,a4,a6] |
Generators |
[30330:1109699:125] |
Generators of the group modulo torsion |
j |
-9305656686742753/58301874176 |
j-invariant |
L |
5.5340387388945 |
L(r)(E,1)/r! |
Ω |
0.31032013636995 |
Real period |
R |
2.2291651909407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999467724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554l1 |
Quadratic twists by: 13 |