Atkin-Lehner |
5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
11935b |
Isogeny class |
Conductor |
11935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-2206506995 = -1 · 5 · 76 · 112 · 31 |
Discriminant |
Eigenvalues |
2 1 5- 7+ 11- 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1310,17959] |
[a1,a2,a3,a4,a6] |
j |
-248810715099136/2206506995 |
j-invariant |
L |
5.8768203241225 |
L(r)(E,1)/r! |
Ω |
1.4692050810306 |
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 |
107415h1 59675g1 83545d1 |
Quadratic twists by: -3 5 -7 |