Atkin-Lehner |
2- 3- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bz |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-900216059335899264 = -1 · 27 · 36 · 712 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-445946,-123266887] |
[a1,a2,a3,a4,a6] |
j |
-13453710839805868633/1234864278924416 |
j-invariant |
L |
7.7190627463552 |
L(r)(E,1)/r! |
Ω |
0.091893604756933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9758e1 |
Quadratic twists by: -3 |