Atkin-Lehner |
2+ 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338c |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
691555041017856 = 220 · 312 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-172701,-27552123] |
[a1,a2,a3,a4,a6] |
Generators |
[341813509232:-8154421621581:425259008] |
Generators of the group modulo torsion |
j |
781415740503416017/948635172864 |
j-invariant |
L |
4.73006061545 |
L(r)(E,1)/r! |
Ω |
0.23421105046759 |
Real period |
R |
20.195719228477 |
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 |
7446i1 |
Quadratic twists by: -3 |