Atkin-Lehner |
5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7955b |
Isogeny class |
Conductor |
7955 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1160 |
Modular degree for the optimal curve |
Δ |
-994375 = -1 · 54 · 37 · 43 |
Discriminant |
Eigenvalues |
1 0 5+ 4 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25,0] |
[a1,a2,a3,a4,a6] |
j |
1689410871/994375 |
j-invariant |
L |
0.8439903950939 |
L(r)(E,1)/r! |
Ω |
1.6879807901878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127280e1 71595j1 39775c1 |
Quadratic twists by: -4 -3 5 |