Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326s |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
37696582 = 2 · 72 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-445,-3793] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:9:1] [29:79:1] |
Generators of the group modulo torsion |
j |
199586739625/769318 |
j-invariant |
L |
4.6497120558659 |
L(r)(E,1)/r! |
Ω |
1.0394012554528 |
Real period |
R |
0.74557540242079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18326d1 |
Quadratic twists by: -7 |