Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200dj |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
18944000 = 212 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[26:96:1] |
Generators of the group modulo torsion |
j |
3796416/37 |
j-invariant |
L |
6.0051568136108 |
L(r)(E,1)/r! |
Ω |
1.1896295901676 |
Real period |
R |
2.5239607619347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200dl1 29600k1 59200dv1 |
Quadratic twists by: -4 8 5 |