Atkin-Lehner |
2- 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
65650o |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-525200 = -1 · 24 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 0 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12,32] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
7604375/21008 |
j-invariant |
L |
8.7135174292044 |
L(r)(E,1)/r! |
Ω |
2.0570081059958 |
Real period |
R |
1.0590037788183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65650l1 |
Quadratic twists by: 5 |