Atkin-Lehner |
31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
107911a |
Isogeny class |
Conductor |
107911 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
-2391594076911059 = -1 · 312 · 597 |
Discriminant |
Eigenvalues |
1 -3 3 -3 2 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32417,691468] |
[a1,a2,a3,a4,a6] |
j |
89314623/56699 |
j-invariant |
L |
1.1422397920836 |
L(r)(E,1)/r! |
Ω |
0.28556002403842 |
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 |
1829a1 |
Quadratic twists by: -59 |