Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34112i |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-240510920818688 = -1 · 228 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ -3 -2 -2 2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48556,-4185296] |
[a1,a2,a3,a4,a6] |
j |
-48296148523713/917476352 |
j-invariant |
L |
0.32125482687505 |
L(r)(E,1)/r! |
Ω |
0.16062741343481 |
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 |
34112s1 1066d1 |
Quadratic twists by: -4 8 |