Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506be |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
27191852772612 = 22 · 3 · 119 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7565,-37729] |
[a1,a2,a3,a4,a6] |
j |
27027009001/15349092 |
j-invariant |
L |
2.211369069098 |
L(r)(E,1)/r! |
Ω |
0.55284226727451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67518ba1 2046d1 |
Quadratic twists by: -3 -11 |