Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376ci |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-1681698816 = -1 · 212 · 32 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,131,1931] |
[a1,a2,a3,a4,a6] |
j |
25088/171 |
j-invariant |
L |
4.3462957642143 |
L(r)(E,1)/r! |
Ω |
1.0865739318377 |
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 |
89376a1 89376bl1 |
Quadratic twists by: -4 -7 |