Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760p |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1590969600 = 28 · 36 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16383,-807118] |
[a1,a2,a3,a4,a6] |
j |
2605772594896/8525 |
j-invariant |
L |
3.3759139957238 |
L(r)(E,1)/r! |
Ω |
0.42198914747217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640h2 |
Quadratic twists by: -3 |