Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ej |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-3945037824 = -1 · 215 · 33 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13- -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1409,-21057] |
[a1,a2,a3,a4,a6] |
j |
-27543608/351 |
j-invariant |
L |
4.6716244287058 |
L(r)(E,1)/r! |
Ω |
0.38930206788414 |
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 |
122304cf1 61152g1 122304bj1 |
Quadratic twists by: -4 8 -7 |