Atkin-Lehner |
5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38425a |
Isogeny class |
Conductor |
38425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-337299453125 = -1 · 57 · 29 · 533 |
Discriminant |
Eigenvalues |
1 3 5+ -1 -3 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1058,24341] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:3791:27] |
Generators of the group modulo torsion |
j |
8377795791/21587165 |
j-invariant |
L |
11.901320266212 |
L(r)(E,1)/r! |
Ω |
0.67273338723656 |
Real period |
R |
4.4227477378144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7685b1 |
Quadratic twists by: 5 |