Atkin-Lehner |
2+ 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330c |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-8696598708158400 = -1 · 26 · 3 · 52 · 135 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6247,4488181] |
[a1,a2,a3,a4,a6] |
j |
-26967882743214841/8696598708158400 |
j-invariant |
L |
0.67049439945582 |
L(r)(E,1)/r! |
Ω |
0.33524719972791 |
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 |
54990bh1 91650dl1 |
Quadratic twists by: -3 5 |