Atkin-Lehner |
2+ 3+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
13938b |
Isogeny class |
Conductor |
13938 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2383957847646 = -1 · 2 · 37 · 232 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 6 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-162,-74358] |
[a1,a2,a3,a4,a6] |
j |
-474734543401/2383957847646 |
j-invariant |
L |
2.2263036618936 |
L(r)(E,1)/r! |
Ω |
0.37105061031559 |
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 |
111504q1 41814h1 |
Quadratic twists by: -4 -3 |