Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7700a |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1141332500000000 = -1 · 28 · 510 · 73 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17292,1363912] |
[a1,a2,a3,a4,a6] |
j |
228714800/456533 |
j-invariant |
L |
1.0120637464935 |
L(r)(E,1)/r! |
Ω |
0.33735458216451 |
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 |
30800br2 123200q2 69300bi2 7700j2 |
Quadratic twists by: -4 8 -3 5 |