Atkin-Lehner |
5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112225f |
Isogeny class |
Conductor |
112225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2872320 |
Modular degree for the optimal curve |
Δ |
-94698618833171875 = -1 · 56 · 677 |
Discriminant |
Eigenvalues |
2 -2 5+ -2 4 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1384108,626476319] |
[a1,a2,a3,a4,a6] |
j |
-207474688/67 |
j-invariant |
L |
2.6487175443563 |
L(r)(E,1)/r! |
Ω |
0.33108971618728 |
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 |
4489b1 1675c1 |
Quadratic twists by: 5 -67 |