Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148br |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-52614515184 = -1 · 24 · 3 · 77 · 113 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24614,-1494627] |
[a1,a2,a3,a4,a6] |
j |
-658266368/21 |
j-invariant |
L |
6.0984811547373 |
L(r)(E,1)/r! |
Ω |
0.19057753632101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164j1 71148bq1 |
Quadratic twists by: -7 -11 |