Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600cl |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
550130227200 = 211 · 37 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6555,-201130] |
[a1,a2,a3,a4,a6] |
j |
834534530/14739 |
j-invariant |
L |
3.1869340600844 |
L(r)(E,1)/r! |
Ω |
0.53115567668076 |
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 |
61200bx1 10200a1 30600bb1 |
Quadratic twists by: -4 -3 5 |