Atkin-Lehner |
2+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162m |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35481600 |
Modular degree for the optimal curve |
Δ |
-7.1066002007598E+23 |
Discriminant |
Eigenvalues |
2+ 3 2 -5 1 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22637596,-57991712938] |
[a1,a2,a3,a4,a6] |
Generators |
[86030898632921782098:6149607651149163556231:10004809131395352] |
Generators of the group modulo torsion |
j |
-8666577439441687017/4800592781092286 |
j-invariant |
L |
9.0289077574939 |
L(r)(E,1)/r! |
Ω |
0.033738153108531 |
Real period |
R |
22.301427626188 |
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 |
4094d1 |
Quadratic twists by: -23 |