Atkin-Lehner |
2+ 3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18408c |
Isogeny class |
Conductor |
18408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-136446265110445056 = -1 · 210 · 35 · 13 · 596 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-546624,156748284] |
[a1,a2,a3,a4,a6] |
j |
-17639677367010526468/133248305771919 |
j-invariant |
L |
0.32957042025796 |
L(r)(E,1)/r! |
Ω |
0.32957042025797 |
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 |
36816i1 55224s1 |
Quadratic twists by: -4 -3 |