Atkin-Lehner |
5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70135j |
Isogeny class |
Conductor |
70135 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
655200 |
Modular degree for the optimal curve |
Δ |
-68763550621796875 = -1 · 57 · 139 · 83 |
Discriminant |
Eigenvalues |
1 0 5- -1 2 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1921139,1025469420] |
[a1,a2,a3,a4,a6] |
Generators |
[296:21822:1] |
Generators of the group modulo torsion |
j |
-73945207834317/6484375 |
j-invariant |
L |
6.9186483225038 |
L(r)(E,1)/r! |
Ω |
0.33164069965481 |
Real period |
R |
1.4901342518185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70135e1 |
Quadratic twists by: 13 |