Atkin-Lehner |
2- 11- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30316d |
Isogeny class |
Conductor |
30316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
102831872 = 28 · 11 · 13 · 532 |
Discriminant |
Eigenvalues |
2- -2 -4 -4 11- 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-780,-8636] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:2:1] [32:14:1] |
Generators of the group modulo torsion |
j |
205269405136/401687 |
j-invariant |
L |
4.0185037132088 |
L(r)(E,1)/r! |
Ω |
0.90340100605894 |
Real period |
R |
2.9654632411358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121264h2 |
Quadratic twists by: -4 |