Atkin-Lehner |
2- 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170v |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
900 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
1720943055000000000 = 29 · 32 · 510 · 135 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2100995,1170281025] |
[a1,a2,a3,a4,a6] |
Generators |
[730:4705:1] |
Generators of the group modulo torsion |
j |
1025649048898676034172081/1720943055000000000 |
j-invariant |
L |
11.751413425097 |
L(r)(E,1)/r! |
Ω |
0.26540037305488 |
Real period |
R |
0.049197843535758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510g1 |
Quadratic twists by: -3 |