Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920u |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
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 |
[569:8448:1] |
Generators of the group modulo torsion |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
4.4100383621128 |
L(r)(E,1)/r! |
Ω |
0.24965135512234 |
Real period |
R |
2.944131399817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gk1 1155l1 |
Quadratic twists by: -4 8 |