Atkin-Lehner |
5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705b |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
20806994121495125 = 53 · 234 · 296 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 3 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-98041,9530165] |
[a1,a2,a3,a4,a6] |
j |
372426001874944/74352915125 |
j-invariant |
L |
0.72684807374225 |
L(r)(E,1)/r! |
Ω |
0.36342401278581 |
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 |
76705i2 |
Quadratic twists by: -23 |