Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935t |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
128907636165 = 33 · 5 · 72 · 117 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11- -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1976,-28414] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:60:1] |
Generators of the group modulo torsion |
j |
9834496/1485 |
j-invariant |
L |
1.6951807899856 |
L(r)(E,1)/r! |
Ω |
0.72328703865073 |
Real period |
R |
1.1718589729756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998668344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935bz1 8085h1 |
Quadratic twists by: -7 -11 |