Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376q |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-4937064906752 = -1 · 231 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -1 2 3 11+ -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4223,15137] |
[a1,a2,a3,a4,a6] |
Generators |
[23:352:1] |
Generators of the group modulo torsion |
j |
31764658463/18833408 |
j-invariant |
L |
4.6426162553353 |
L(r)(E,1)/r! |
Ω |
0.46865194795515 |
Real period |
R |
2.4765800481532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13376h1 3344i1 120384dv1 |
Quadratic twists by: -4 8 -3 |