Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200s |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-160563200 = -1 · 217 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 1 -6 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-673,-6977] |
[a1,a2,a3,a4,a6] |
j |
-10303010/49 |
j-invariant |
L |
1.8739088644142 |
L(r)(E,1)/r! |
Ω |
0.46847721610354 |
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 |
11200bz1 1400b1 100800eu1 11200be1 |
Quadratic twists by: -4 8 -3 5 |