Atkin-Lehner |
2+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850c |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
30340000000 = 28 · 57 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3817,91341] |
[a1,a2,a3,a4,a6] |
Generators |
[18:159:1] |
Generators of the group modulo torsion |
j |
393671672289/1941760 |
j-invariant |
L |
5.3764363204641 |
L(r)(E,1)/r! |
Ω |
1.181249509789 |
Real period |
R |
2.2757411866676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170h1 |
Quadratic twists by: 5 |