Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116865a |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1917676861734375 = 39 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-370523,86877172] |
[a1,a2,a3,a4,a6] |
j |
2429341649307/828125 |
j-invariant |
L |
0.91725970082194 |
L(r)(E,1)/r! |
Ω |
0.45862992905048 |
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 |
116865i2 2385c2 |
Quadratic twists by: -3 -7 |