Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032q |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-30773542912 = -1 · 216 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2753,55327] |
[a1,a2,a3,a4,a6] |
Generators |
[13:148:1] |
Generators of the group modulo torsion |
j |
-102689500/1369 |
j-invariant |
L |
5.2737398023535 |
L(r)(E,1)/r! |
Ω |
1.1775844994568 |
Real period |
R |
1.1196096359405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116032bn1 14504d1 116032n1 |
Quadratic twists by: -4 8 -7 |