Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bt |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-9826553298996720 = -1 · 24 · 34 · 5 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22396,-4950067] |
[a1,a2,a3,a4,a6] |
Generators |
[73555:1668201:125] |
Generators of the group modulo torsion |
j |
-257380823881/2035828080 |
j-invariant |
L |
7.7052492481506 |
L(r)(E,1)/r! |
Ω |
0.17202684572733 |
Real period |
R |
5.5988712224392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290f1 |
Quadratic twists by: 13 |