Atkin-Lehner |
5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
11935c |
Isogeny class |
Conductor |
11935 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-883154195 = -1 · 5 · 72 · 112 · 313 |
Discriminant |
Eigenvalues |
2 3 5- 7+ 11- 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,233,-413] |
[a1,a2,a3,a4,a6] |
j |
1398915477504/883154195 |
j-invariant |
L |
10.881553195994 |
L(r)(E,1)/r! |
Ω |
0.90679609966619 |
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 |
107415i1 59675k1 83545e1 |
Quadratic twists by: -3 5 -7 |