Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990bf |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
89404560 = 24 · 37 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1449,-20867] |
[a1,a2,a3,a4,a6] |
Generators |
[59:281:1] |
Generators of the group modulo torsion |
j |
461710681489/122640 |
j-invariant |
L |
5.0953842855227 |
L(r)(E,1)/r! |
Ω |
0.77379395471707 |
Real period |
R |
3.2924683983817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330u1 |
Quadratic twists by: -3 |