Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338f |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-134028 = -1 · 22 · 33 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 0 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
4492125/4964 |
j-invariant |
L |
7.2341588463742 |
L(r)(E,1)/r! |
Ω |
1.7725318937138 |
Real period |
R |
1.0203143413145 |
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 |
22338b1 |
Quadratic twists by: -3 |