Atkin-Lehner |
3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425b |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61263984375 = 32 · 57 · 11 · 892 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-522786000,-4601025061875] |
[a1,a2,a3,a4,a6] |
Generators |
[-832270058798:416135266997:63044792] |
Generators of the group modulo torsion |
j |
1011289583422118802032098561/3920895 |
j-invariant |
L |
6.1610915105105 |
L(r)(E,1)/r! |
Ω |
0.031573197580593 |
Real period |
R |
12.196047561564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000004502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14685g5 |
Quadratic twists by: 5 |