Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bw |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-480370176000 = -1 · 212 · 38 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31941,-2208141] |
[a1,a2,a3,a4,a6] |
j |
-879878867636224/117277875 |
j-invariant |
L |
1.4284591091499 |
L(r)(E,1)/r! |
Ω |
0.17855738864474 |
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 |
2145a1 102960eq1 |
Quadratic twists by: -4 -3 |