Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012i |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
55109376 |
Modular degree for the optimal curve |
Δ |
-5.895229330191E+28 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 11- -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,961655881,2170765412734] |
[a1,a2,a3,a4,a6] |
Generators |
[26046:6699814:1] |
Generators of the group modulo torsion |
j |
3239683097405998896/1941871315289213 |
j-invariant |
L |
3.35600908045 |
L(r)(E,1)/r! |
Ω |
0.021524664793298 |
Real period |
R |
8.6619211453406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012n1 |
Quadratic twists by: 17 |