Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680r |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1352636718750000 = -1 · 24 · 36 · 514 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234318,-43693117] |
[a1,a2,a3,a4,a6] |
Generators |
[474759650067417982287:-23496852431105007326614:186315189360620949] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
3.7383821534336 |
L(r)(E,1)/r! |
Ω |
0.10849091902122 |
Real period |
R |
34.45801904123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6840q1 54720es1 1520c1 68400cg1 |
Quadratic twists by: -4 8 -3 5 |