Atkin-Lehner |
2+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58432h |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-4849856 = -1 · 26 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ -3 -3 -4 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4,106] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:83:8] [3:11:1] |
Generators of the group modulo torsion |
j |
-110592/75779 |
j-invariant |
L |
4.2557899637824 |
L(r)(E,1)/r! |
Ω |
1.9691606571582 |
Real period |
R |
1.0806101443045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432n1 913b1 |
Quadratic twists by: -4 8 |