Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bh |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2938507264000000 = 218 · 56 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129475,17741250] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1650:1] |
Generators of the group modulo torsion |
j |
3750606459153/45914176 |
j-invariant |
L |
4.511853685774 |
L(r)(E,1)/r! |
Ω |
0.45303296910178 |
Real period |
R |
1.2449021355773 |
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 |
3850f2 123200dx2 1232j2 |
Quadratic twists by: -4 8 5 |