Atkin-Lehner |
2+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
58432i |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-4849856 = -1 · 26 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ -1 1 -2 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1695,27433] |
[a1,a2,a3,a4,a6] |
Generators |
[24:1:1] |
Generators of the group modulo torsion |
j |
-8419940867584/75779 |
j-invariant |
L |
4.9584845263177 |
L(r)(E,1)/r! |
Ω |
2.1937574321811 |
Real period |
R |
1.130135094553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432a1 29216a1 |
Quadratic twists by: -4 8 |