Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080co |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-36784598169600000 = -1 · 214 · 310 · 55 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30459,-8987805] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1269:1] |
Generators of the group modulo torsion |
j |
190737654201344/2245153696875 |
j-invariant |
L |
6.3315098145688 |
L(r)(E,1)/r! |
Ω |
0.17975952786648 |
Real period |
R |
3.5222109724674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22080k1 5520c1 66240ga1 110400gs1 |
Quadratic twists by: -4 8 -3 5 |