Atkin-Lehner |
2- 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30504c |
Isogeny class |
Conductor |
30504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
133991138304 = 210 · 34 · 312 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1304,-3876] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2080:1] |
Generators of the group modulo torsion |
j |
239656677988/130850721 |
j-invariant |
L |
3.5372467988845 |
L(r)(E,1)/r! |
Ω |
0.8482103717178 |
Real period |
R |
4.1702470481713 |
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 |
61008c2 91512d2 |
Quadratic twists by: -4 -3 |