Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bt |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-280371200000000 = -1 · 219 · 58 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 -3 -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,-817537] |
[a1,a2,a3,a4,a6] |
Generators |
[2991:3700:27] |
Generators of the group modulo torsion |
j |
-121945/2738 |
j-invariant |
L |
7.8031200105055 |
L(r)(E,1)/r! |
Ω |
0.23734766788146 |
Real period |
R |
2.7396940811633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200dx1 1850c1 59200l1 |
Quadratic twists by: -4 8 5 |