Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13794d |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-33640840747008 = -1 · 211 · 310 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 11- -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4600,301888] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1273:1] |
Generators of the group modulo torsion |
j |
-735485265625/2297714688 |
j-invariant |
L |
2.6014813587391 |
L(r)(E,1)/r! |
Ω |
0.57560087813343 |
Real period |
R |
0.75326540130124 |
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 |
110352bs1 41382cf1 13794w1 |
Quadratic twists by: -4 -3 -11 |