Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600i |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-20748539992320000 = -1 · 211 · 39 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76275,10666350] |
[a1,a2,a3,a4,a6] |
j |
-1947910950/823543 |
j-invariant |
L |
2.1561161170074 |
L(r)(E,1)/r! |
Ω |
0.35935268616789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25200t1 100800bz1 12600bq1 12600bn1 |
Quadratic twists by: -4 8 -3 5 |