Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222h |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-274264304743872 = -1 · 26 · 38 · 23 · 734 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-383684,91575591] |
[a1,a2,a3,a4,a6] |
j |
-8568724700288386297/376219896768 |
j-invariant |
L |
6.2065712018951 |
L(r)(E,1)/r! |
Ω |
0.51721426682458 |
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 |
10074d1 |
Quadratic twists by: -3 |