Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800cu |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3035648000 = 212 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20888,1155028] |
[a1,a2,a3,a4,a6] |
Generators |
[28:770:1] [78:80:1] |
Generators of the group modulo torsion |
j |
1968634623437/5929 |
j-invariant |
L |
6.0763290970558 |
L(r)(E,1)/r! |
Ω |
1.2401076395361 |
Real period |
R |
0.61248000811928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1925h2 123200hu2 30800cg2 |
Quadratic twists by: -4 8 5 |