Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400a |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
219348480000000 = 215 · 3 · 57 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21633,-988863] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:475:1] |
Generators of the group modulo torsion |
j |
2186875592/428415 |
j-invariant |
L |
5.1241879251916 |
L(r)(E,1)/r! |
Ω |
0.39903332977077 |
Real period |
R |
3.2103758899819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ca4 31200cb3 12480bh3 |
Quadratic twists by: -4 8 5 |