Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304u |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6946215979143168 = 212 · 38 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568857,-164902023] |
[a1,a2,a3,a4,a6] |
j |
42246001231552/14414517 |
j-invariant |
L |
0.34768541054294 |
L(r)(E,1)/r! |
Ω |
0.17384315985046 |
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 |
122304de2 61152cd1 2496o2 |
Quadratic twists by: -4 8 -7 |