Atkin-Lehner |
3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62361i |
Isogeny class |
Conductor |
62361 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
6894953596054728711 = 313 · 137 · 413 |
Discriminant |
Eigenvalues |
1 3- -1 -2 1 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-484470,-29635943] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:10151:1] |
Generators of the group modulo torsion |
j |
3573857582569/1959492951 |
j-invariant |
L |
5.5682751747222 |
L(r)(E,1)/r! |
Ω |
0.19339018417364 |
Real period |
R |
1.1997065238695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20787a1 4797c1 |
Quadratic twists by: -3 13 |