Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304el |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-372003791437824 = -1 · 219 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12031,780639] |
[a1,a2,a3,a4,a6] |
j |
14991903983/28960854 |
j-invariant |
L |
4.4367058452086 |
L(r)(E,1)/r! |
Ω |
0.36972545303217 |
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 |
122304gk2 3822t2 122304a2 |
Quadratic twists by: -4 8 -7 |