Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9790h |
Isogeny class |
Conductor |
9790 |
Conductor |
∏ cp |
85 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
40255261205463040 = 217 · 5 · 11 · 895 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-550471,-156948215] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:385:1] |
Generators of the group modulo torsion |
j |
18447057201893947212529/40255261205463040 |
j-invariant |
L |
6.9512230479429 |
L(r)(E,1)/r! |
Ω |
0.17529635323387 |
Real period |
R |
0.46651908709461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78320bf1 88110bk1 48950e1 107690i1 |
Quadratic twists by: -4 -3 5 -11 |