Atkin-Lehner |
3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813c |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1257133527 = -1 · 39 · 13 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 6 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29,-1700] |
[a1,a2,a3,a4,a6] |
Generators |
[1630:-341:125] |
Generators of the group modulo torsion |
j |
-27/13 |
j-invariant |
L |
4.3249498462191 |
L(r)(E,1)/r! |
Ω |
0.68812025714616 |
Real period |
R |
6.285165712395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33813b1 33813d1 |
Quadratic twists by: -3 17 |