Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950q |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-878649120000000 = -1 · 211 · 311 · 57 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 2 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21933,-691659] |
[a1,a2,a3,a4,a6] |
j |
102437538839/77137920 |
j-invariant |
L |
1.1164221192378 |
L(r)(E,1)/r! |
Ω |
0.27910552980944 |
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 |
111600fg1 4650bj1 2790u1 |
Quadratic twists by: -4 -3 5 |