Atkin-Lehner |
5- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59225j |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
422464 |
Modular degree for the optimal curve |
Δ |
-4515224145902875 = -1 · 53 · 237 · 1032 |
Discriminant |
Eigenvalues |
-2 0 5- -3 2 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2965,-3232344] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1322:1] |
Generators of the group modulo torsion |
j |
23061512761344/36121793167223 |
j-invariant |
L |
1.8377269623919 |
L(r)(E,1)/r! |
Ω |
0.2025020203359 |
Real period |
R |
0.32411086904722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59225h1 |
Quadratic twists by: 5 |