Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770bs |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-33925370273437500 = -1 · 22 · 33 · 510 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,79979,1688279] |
[a1,a2,a3,a4,a6] |
Generators |
[69844:2351287:64] |
Generators of the group modulo torsion |
j |
25752608464299443/15441679687500 |
j-invariant |
L |
5.6066123129019 |
L(r)(E,1)/r! |
Ω |
0.22541849970049 |
Real period |
R |
6.2180037577223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770t1 |
Quadratic twists by: 13 |