Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694y |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-78670690856828928 = -1 · 215 · 36 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,41259,13120749] |
[a1,a2,a3,a4,a6] |
j |
25943020727/262766592 |
j-invariant |
L |
2.0183519649466 |
L(r)(E,1)/r! |
Ω |
0.25229393520875 |
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 |
11154bb1 122694cn1 |
Quadratic twists by: -11 13 |