Atkin-Lehner |
3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120213i |
Isogeny class |
Conductor |
120213 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-892084889393739 = -1 · 36 · 197 · 372 |
Discriminant |
Eigenvalues |
-2 3- 3 3 1 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3249,-1435246] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2164:1] |
Generators of the group modulo torsion |
j |
110592/26011 |
j-invariant |
L |
4.9618988920286 |
L(r)(E,1)/r! |
Ω |
0.23461070881824 |
Real period |
R |
2.6436873661241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999136356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13357b1 6327d1 |
Quadratic twists by: -3 -19 |