Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ei |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-657506304 = -1 · 214 · 32 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-709,7139] |
[a1,a2,a3,a4,a6] |
j |
-7023616/117 |
j-invariant |
L |
6.4806301567473 |
L(r)(E,1)/r! |
Ω |
1.620157596228 |
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 |
122304gi1 15288d1 122304bh1 |
Quadratic twists by: -4 8 -7 |