Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ek |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
778248135000000000 = 29 · 33 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17297408,-27683992188] |
[a1,a2,a3,a4,a6] |
Generators |
[-27208076544875996:644865051116875:11342094087232] |
Generators of the group modulo torsion |
j |
608119035935048/826875 |
j-invariant |
L |
6.5102409315183 |
L(r)(E,1)/r! |
Ω |
0.074029417247169 |
Real period |
R |
21.985317384675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cn4 23520m4 16800br3 |
Quadratic twists by: -4 5 -7 |