Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bj |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70080 |
Modular degree for the optimal curve |
Δ |
-1363670 = -1 · 2 · 5 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-258,-1529] |
[a1,a2,a3,a4,a6] |
j |
-38619592641/27830 |
j-invariant |
L |
10.723831058852 |
L(r)(E,1)/r! |
Ω |
0.59576838313706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970bn1 |
Quadratic twists by: -7 |