Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5740b |
Isogeny class |
Conductor |
5740 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-18000640 = -1 · 28 · 5 · 73 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,255] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:21:1] |
Generators of the group modulo torsion |
j |
-99672064/70315 |
j-invariant |
L |
2.4924105418903 |
L(r)(E,1)/r! |
Ω |
2.0107165650549 |
Real period |
R |
1.2395633403569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22960h1 91840s1 51660r1 28700b1 |
Quadratic twists by: -4 8 -3 5 |