Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54760g |
Isogeny class |
Conductor |
54760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
607564013651200 = 28 · 52 · 377 |
Discriminant |
Eigenvalues |
2- -3 5- -5 -3 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38332,2633956] |
[a1,a2,a3,a4,a6] |
Generators |
[592:13690:1] |
Generators of the group modulo torsion |
j |
9483264/925 |
j-invariant |
L |
3.323539006283 |
L(r)(E,1)/r! |
Ω |
0.50041531176348 |
Real period |
R |
0.41509758596032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109520f1 1480a1 |
Quadratic twists by: -4 37 |