Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950fg |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-310964062500 = -1 · 22 · 37 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1570,11697] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] |
Generators of the group modulo torsion |
j |
1503815/1092 |
j-invariant |
L |
9.9100159669952 |
L(r)(E,1)/r! |
Ω |
0.61592820613585 |
Real period |
R |
2.0111954340367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650r1 40950bd1 |
Quadratic twists by: -3 5 |