Atkin-Lehner |
2- 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760x |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1098518125250000 = 24 · 56 · 76 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26741,-529720] |
[a1,a2,a3,a4,a6] |
j |
132176090490732544/68657382828125 |
j-invariant |
L |
1.1855473247098 |
L(r)(E,1)/r! |
Ω |
0.3951826671971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30940e3 |
Quadratic twists by: -4 |