Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326ba |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
-8541281692054593328 = -1 · 24 · 710 · 113 · 175 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1510279,727464877] |
[a1,a2,a3,a4,a6] |
j |
-1348698520353793/30237274672 |
j-invariant |
L |
4.6417955238273 |
L(r)(E,1)/r! |
Ω |
0.23208977619136 |
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 |
18326u1 |
Quadratic twists by: -7 |