Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520q |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-1057383048082227200 = -1 · 217 · 52 · 199 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -4 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96748,-50811472] |
[a1,a2,a3,a4,a6] |
j |
-16241202/171475 |
j-invariant |
L |
1.8787636615604 |
L(r)(E,1)/r! |
Ω |
0.11742274510935 |
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 |
115520ce1 14440n1 6080f1 |
Quadratic twists by: -4 8 -19 |