Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560j |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
42819840 = 28 · 34 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55756,5048864] |
[a1,a2,a3,a4,a6] |
Generators |
[200:1392:1] |
Generators of the group modulo torsion |
j |
74880091125217744/167265 |
j-invariant |
L |
8.0959051910005 |
L(r)(E,1)/r! |
Ω |
1.32654987463 |
Real period |
R |
3.0514891847656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120b1 |
Quadratic twists by: -4 |