Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960br |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20124352696320 = -1 · 212 · 312 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,215818] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-486:1] [-33:410:1] |
Generators of the group modulo torsion |
j |
1685159/6739605 |
j-invariant |
L |
7.3315445147024 |
L(r)(E,1)/r! |
Ω |
0.53760952875461 |
Real period |
R |
3.4093259710661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1935f2 123840gd2 10320bj2 |
Quadratic twists by: -4 8 -3 |