Atkin-Lehner |
2- 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40626r |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
463104 |
Modular degree for the optimal curve |
Δ |
-3951028938078 = -1 · 2 · 315 · 37 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3354890,-2364348265] |
[a1,a2,a3,a4,a6] |
Generators |
[40229320987716:-20814005744822807:150568768] |
Generators of the group modulo torsion |
j |
-5728368102468975393625/5419792782 |
j-invariant |
L |
8.668533606441 |
L(r)(E,1)/r! |
Ω |
0.055776338076971 |
Real period |
R |
19.426996073313 |
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 |
13542e1 |
Quadratic twists by: -3 |