Atkin-Lehner |
2+ 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870c |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
1.7545499105832E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24334363,-45772356707] |
[a1,a2,a3,a4,a6] |
j |
1593616019105842330776865849/17545499105832000000000 |
j-invariant |
L |
1.0883120844344 |
L(r)(E,1)/r! |
Ω |
0.06801950527715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56610bg1 94350ce1 |
Quadratic twists by: -3 5 |