Atkin-Lehner |
3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675bf |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
459915892006640625 = 312 · 58 · 17 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1479380,-691437378] |
[a1,a2,a3,a4,a6] |
j |
31435119227026801/40376703825 |
j-invariant |
L |
2.1904488849696 |
L(r)(E,1)/r! |
Ω |
0.13690305474608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225b1 14535h1 |
Quadratic twists by: -3 5 |