Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18700n |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-29920000 = -1 · 28 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,137] |
[a1,a2,a3,a4,a6] |
Generators |
[7:30:1] |
Generators of the group modulo torsion |
j |
204800/187 |
j-invariant |
L |
7.3824188554816 |
L(r)(E,1)/r! |
Ω |
1.3668662637361 |
Real period |
R |
0.60010901101479 |
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 |
74800cw1 18700f1 |
Quadratic twists by: -4 5 |