Atkin-Lehner |
5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825r |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
393120 |
Modular degree for the optimal curve |
Δ |
149978223828125 = 58 · 73 · 113 · 292 |
Discriminant |
Eigenvalues |
2 0 5- 7+ 11- -7 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30875,2003281] |
[a1,a2,a3,a4,a6] |
Generators |
[1250:7971:8] |
Generators of the group modulo torsion |
j |
8332677550080/383944253 |
j-invariant |
L |
10.036935257628 |
L(r)(E,1)/r! |
Ω |
0.57196889355072 |
Real period |
R |
0.97489132817247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825n1 |
Quadratic twists by: 5 |