Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445p |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
3680709067756385 = 5 · 77 · 197 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-250963,-48239838] |
[a1,a2,a3,a4,a6] |
Generators |
[16770:151807:27] |
Generators of the group modulo torsion |
j |
315821241/665 |
j-invariant |
L |
1.5071203187003 |
L(r)(E,1)/r! |
Ω |
0.21333013413308 |
Real period |
R |
7.064732446418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12635c1 4655d1 |
Quadratic twists by: -7 -19 |