Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
74200h |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
45607475200 = 211 · 52 · 75 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 4 3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1128,10732] |
[a1,a2,a3,a4,a6] |
Generators |
[1:98:1] |
Generators of the group modulo torsion |
j |
3102887330/890771 |
j-invariant |
L |
6.4195344059314 |
L(r)(E,1)/r! |
Ω |
1.0566268178786 |
Real period |
R |
1.2150996546407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200v1 |
Quadratic twists by: 5 |