Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550jp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-6020781694200 = -1 · 23 · 39 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,587,117977] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1265:1] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
13.490684551491 |
L(r)(E,1)/r! |
Ω |
0.58558363826719 |
Real period |
R |
0.42662990431755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550cg1 1950o1 |
Quadratic twists by: 5 -7 |