Atkin-Lehner |
5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525c |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
960925 = 52 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ -5 -7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,307] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
3016755625/38437 |
j-invariant |
L |
2.0265068329807 |
L(r)(E,1)/r! |
Ω |
2.7956925906592 |
Real period |
R |
0.36243377392012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56525ba1 |
Quadratic twists by: 5 |