Atkin-Lehner |
3+ 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325h |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25440 |
Modular degree for the optimal curve |
Δ |
74242575 = 35 · 52 · 112 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-205,970] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:373:8] [6:-2:1] |
Generators of the group modulo torsion |
j |
38401771585/2969703 |
j-invariant |
L |
12.140364675391 |
L(r)(E,1)/r! |
Ω |
1.8970087463717 |
Real period |
R |
3.1998705062783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83325u1 |
Quadratic twists by: 5 |