Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gk |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
525685620155351040 = 218 · 316 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-202081,-2456545] |
[a1,a2,a3,a4,a6] |
Generators |
[-409:3456:1] |
Generators of the group modulo torsion |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
6.495636669377 |
L(r)(E,1)/r! |
Ω |
0.24518521790685 |
Real period |
R |
1.6557984012258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920u1 18480cf1 |
Quadratic twists by: -4 8 |