Atkin-Lehner |
2- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550s |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-9368067200 = -1 · 27 · 52 · 292 · 592 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 5 4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,527,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[6:55:1] |
Generators of the group modulo torsion |
j |
647387101895/374722688 |
j-invariant |
L |
12.735853221507 |
L(r)(E,1)/r! |
Ω |
0.77246465307951 |
Real period |
R |
0.58883199221477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550k1 |
Quadratic twists by: 5 |