Atkin-Lehner |
3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935u |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
115094251965 = 3 · 5 · 78 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 11+ 1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2515,-44892] |
[a1,a2,a3,a4,a6] |
j |
229376/15 |
j-invariant |
L |
1.3538170560446 |
L(r)(E,1)/r! |
Ω |
0.67690852701566 |
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 |
88935bo1 88935v1 |
Quadratic twists by: -7 -11 |