Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115444c |
Isogeny class |
Conductor |
115444 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83376 |
Modular degree for the optimal curve |
Δ |
-701437744 = -1 · 24 · 74 · 19 · 312 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1829,-30752] |
[a1,a2,a3,a4,a6] |
Generators |
[2259900:25916806:15625] |
Generators of the group modulo torsion |
j |
-17623416832/18259 |
j-invariant |
L |
7.1934563400975 |
L(r)(E,1)/r! |
Ω |
0.36498025248099 |
Real period |
R |
9.8545829505992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115444i1 |
Quadratic twists by: -7 |