Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950cg |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
734809856625000000 = 26 · 38 · 59 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2360263,1394883017] |
[a1,a2,a3,a4,a6] |
Generators |
[-1348:46799:1] |
Generators of the group modulo torsion |
j |
744517447319409821/376222646592 |
j-invariant |
L |
13.073549861972 |
L(r)(E,1)/r! |
Ω |
0.28105515552787 |
Real period |
R |
0.64605497472518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79950o1 |
Quadratic twists by: 5 |