Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
24920h |
Isogeny class |
Conductor |
24920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
697760000 = 28 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1487,22034] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:210:1] |
Generators of the group modulo torsion |
j |
1420419586896/2725625 |
j-invariant |
L |
5.6173911653671 |
L(r)(E,1)/r! |
Ω |
1.6107382436332 |
Real period |
R |
1.7437318532577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49840g1 124600c1 |
Quadratic twists by: -4 5 |