Atkin-Lehner |
2- 3+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554r |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-504824832 = -1 · 210 · 33 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -5 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4732,-127267] |
[a1,a2,a3,a4,a6] |
j |
-12193833718273/525312 |
j-invariant |
L |
2.8781063072522 |
L(r)(E,1)/r! |
Ω |
0.28781059311697 |
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 |
109554v1 |
Quadratic twists by: -31 |