Atkin-Lehner |
2+ 3+ 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090b |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
726400327680000 = 216 · 39 · 54 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30660,-1601200] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:684:1] [-65:370:1] |
Generators of the group modulo torsion |
j |
161941008261843/36904960000 |
j-invariant |
L |
7.1705353594855 |
L(r)(E,1)/r! |
Ω |
0.36669399294748 |
Real period |
R |
2.4443185248881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81090z1 |
Quadratic twists by: -3 |