Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785o |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2770198793505 = 37 · 5 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49028,-4165378] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:90:1] |
Generators of the group modulo torsion |
j |
10091699281/2145 |
j-invariant |
L |
2.242836062107 |
L(r)(E,1)/r! |
Ω |
0.32084460548731 |
Real period |
R |
3.4952061264047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595o1 6435j1 |
Quadratic twists by: -3 -11 |