Atkin-Lehner |
2+ 3+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
13938a |
Isogeny class |
Conductor |
13938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
-2153764878336 = -1 · 211 · 39 · 232 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 -2 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9773697,11756716533] |
[a1,a2,a3,a4,a6] |
j |
-103252456971064214794655641/2153764878336 |
j-invariant |
L |
0.85616808226808 |
L(r)(E,1)/r! |
Ω |
0.42808404113404 |
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 |
111504p1 41814g1 |
Quadratic twists by: -4 -3 |