Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ci |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
5598720 |
Modular degree for the optimal curve |
Δ |
-8.9680190244945E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -7 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2366919,-333650852] |
[a1,a2,a3,a4,a6] |
Generators |
[1208:-66093:1] |
Generators of the group modulo torsion |
j |
498592699047570335/304907615857152 |
j-invariant |
L |
5.0957734237063 |
L(r)(E,1)/r! |
Ω |
0.091264722912813 |
Real period |
R |
0.93058472503102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850fc1 11550e1 |
Quadratic twists by: 5 -7 |