Atkin-Lehner |
2- 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40020c |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-87646201200 = -1 · 24 · 33 · 52 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1466,-25395] |
[a1,a2,a3,a4,a6] |
Generators |
[1281:2645:27] |
Generators of the group modulo torsion |
j |
-21792238898944/5477887575 |
j-invariant |
L |
3.8188780602287 |
L(r)(E,1)/r! |
Ω |
0.38072233409265 |
Real period |
R |
2.5076530310011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120060m1 |
Quadratic twists by: -3 |