Atkin-Lehner |
2+ 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690d |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
741398278500 = 22 · 33 · 53 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2904,44460] |
[a1,a2,a3,a4,a6] |
j |
100330714129563/27459195500 |
j-invariant |
L |
1.679746602693 |
L(r)(E,1)/r! |
Ω |
0.83987330134817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
30690v3 |
Quadratic twists by: -3 |