Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322n |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-6345864705024 = -1 · 210 · 313 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 0 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,146,121259] |
[a1,a2,a3,a4,a6] |
j |
2035680647/37549495296 |
j-invariant |
L |
5.9431081081124 |
L(r)(E,1)/r! |
Ω |
0.59431081081123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69966s1 23322c1 |
Quadratic twists by: -3 13 |