Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550v |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
680 |
Product of Tamagawa factors cp |
deg |
21020160 |
Modular degree for the optimal curve |
Δ |
5.2170076454912E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-204447938,-241726673969] |
[a1,a2,a3,a4,a6] |
Generators |
[-122685:20861329:27] |
Generators of the group modulo torsion |
j |
60485585711847126379288921/33388848931143680000000 |
j-invariant |
L |
13.781933905145 |
L(r)(E,1)/r! |
Ω |
0.042736246007278 |
Real period |
R |
0.47424731355773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710g1 |
Quadratic twists by: 5 |