Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kx |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
278623800000000 = 29 · 37 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64513,-6260983] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:299:1] |
Generators of the group modulo torsion |
j |
1551349793665/14556672 |
j-invariant |
L |
14.138899070784 |
L(r)(E,1)/r! |
Ω |
0.29973239269153 |
Real period |
R |
0.24958593625634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550bv1 95550hr1 |
Quadratic twists by: 5 -7 |