Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690bs |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
2363219879961600 = 210 · 38 · 52 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59702,5119301] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:3109:1] |
Generators of the group modulo torsion |
j |
32281670802491929/3241728230400 |
j-invariant |
L |
8.2987581047087 |
L(r)(E,1)/r! |
Ω |
0.44648953293473 |
Real period |
R |
0.46466700183103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230l2 |
Quadratic twists by: -3 |