Atkin-Lehner |
3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935v |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1153152 |
Modular degree for the optimal curve |
Δ |
203896488105367365 = 3 · 5 · 78 · 119 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 11+ -1 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-304355,60968291] |
[a1,a2,a3,a4,a6] |
j |
229376/15 |
j-invariant |
L |
1.8679414908596 |
L(r)(E,1)/r! |
Ω |
0.31132356259014 |
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 |
88935bn1 88935u1 |
Quadratic twists by: -7 -11 |