Atkin-Lehner |
2+ 3- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210k |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-435024000 = -1 · 27 · 33 · 53 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,131,-808] |
[a1,a2,a3,a4,a6] |
j |
251359058231/435024000 |
j-invariant |
L |
2.6373899168245 |
L(r)(E,1)/r! |
Ω |
0.87912997227411 |
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 |
90630cf1 |
Quadratic twists by: -3 |