Atkin-Lehner |
2- 3+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28638k |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-6357636 = -1 · 22 · 33 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 -5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,46,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] [17:65:1] |
Generators of the group modulo torsion |
j |
406869021/235468 |
j-invariant |
L |
10.155569671438 |
L(r)(E,1)/r! |
Ω |
1.4227528619556 |
Real period |
R |
0.8922464630891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28638c1 |
Quadratic twists by: -3 |