Atkin-Lehner |
2+ 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bl |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
76085730000 = 24 · 37 · 54 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4526,116048] |
[a1,a2,a3,a4,a6] |
Generators |
[57:181:1] [-63:421:1] |
Generators of the group modulo torsion |
j |
16400209669225/121737168 |
j-invariant |
L |
8.9198414730544 |
L(r)(E,1)/r! |
Ω |
1.0941510291925 |
Real period |
R |
0.097051125604287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550cl1 |
Quadratic twists by: 5 |