Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46475j |
Isogeny class |
Conductor |
46475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
4745356598125 = 54 · 112 · 137 |
Discriminant |
Eigenvalues |
0 1 5- -2 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-554883,158907844] |
[a1,a2,a3,a4,a6] |
Generators |
[3386:1855:8] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
4.2709338133608 |
L(r)(E,1)/r! |
Ω |
0.6154019961582 |
Real period |
R |
0.8675089291281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46475d1 3575g1 |
Quadratic twists by: 5 13 |