Atkin-Lehner |
2- 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40020g |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-18409200 = -1 · 24 · 3 · 52 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50,173] |
[a1,a2,a3,a4,a6] |
Generators |
[1:15:1] |
Generators of the group modulo torsion |
j |
846834944/1150575 |
j-invariant |
L |
8.5487929434481 |
L(r)(E,1)/r! |
Ω |
1.4698772631179 |
Real period |
R |
1.4539977517092 |
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 |
120060h1 |
Quadratic twists by: -3 |