Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224h |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-100755456 = -1 · 211 · 3 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 3 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,336] |
[a1,a2,a3,a4,a6] |
Generators |
[10:46:1] |
Generators of the group modulo torsion |
j |
36382894/49197 |
j-invariant |
L |
3.0939104161819 |
L(r)(E,1)/r! |
Ω |
1.2753194968343 |
Real period |
R |
0.60649712167461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17112d1 102672i1 |
Quadratic twists by: -4 -3 |