Atkin-Lehner |
2+ 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120274h |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-34157816 = -1 · 23 · 7 · 112 · 712 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- 11- -5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28,-280] |
[a1,a2,a3,a4,a6] |
j |
-20469537/282296 |
j-invariant |
L |
1.7698207329504 |
L(r)(E,1)/r! |
Ω |
0.88491081176187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120274m1 |
Quadratic twists by: -11 |