Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320q |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-15573760 = -1 · 28 · 5 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -2 4 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-981,-12161] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1058:1] |
Generators of the group modulo torsion |
j |
-33554432/5 |
j-invariant |
L |
4.3856642981192 |
L(r)(E,1)/r! |
Ω |
0.42649263785641 |
Real period |
R |
2.5707737419305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580e1 42320bc1 |
Quadratic twists by: -4 -23 |