Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240h |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-7.5353483221402E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,597439,-378137535] |
[a1,a2,a3,a4,a6] |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
0.19799210857662 |
L(r)(E,1)/r! |
Ω |
0.098996054288308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240ci1 570l1 54720ch1 91200dv1 |
Quadratic twists by: -4 8 -3 5 |