Atkin-Lehner |
2+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8806a |
Isogeny class |
Conductor |
8806 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6960 |
Modular degree for the optimal curve |
Δ |
192886624 = 25 · 7 · 17 · 373 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ 4 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-229,-1099] |
[a1,a2,a3,a4,a6] |
j |
1331363033001/192886624 |
j-invariant |
L |
3.7166509712926 |
L(r)(E,1)/r! |
Ω |
1.2388836570975 |
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 |
70448q1 79254bf1 61642n1 |
Quadratic twists by: -4 -3 -7 |