Atkin-Lehner |
2- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
72100d |
Isogeny class |
Conductor |
72100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-309128750000 = -1 · 24 · 57 · 74 · 103 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 0 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18700,984625] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1225:1] [90:175:1] |
Generators of the group modulo torsion |
j |
-2892734152704/1236515 |
j-invariant |
L |
6.4523440225421 |
L(r)(E,1)/r! |
Ω |
0.9529101297582 |
Real period |
R |
0.14106664375276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14420a1 |
Quadratic twists by: 5 |