Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3650o |
Isogeny class |
Conductor |
3650 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
765460480000000 = 227 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 3 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47438,3743492] |
[a1,a2,a3,a4,a6] |
Generators |
[92:354:1] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
5.4852641375697 |
L(r)(E,1)/r! |
Ω |
0.49592797285266 |
Real period |
R |
0.10241302272813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29200v1 116800q1 32850y1 730d1 |
Quadratic twists by: -4 8 -3 5 |