Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336bp |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
513669320146944 = 218 · 37 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 1 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20385,-250047] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:656:1] |
Generators of the group modulo torsion |
j |
3573857582569/1959492951 |
j-invariant |
L |
5.216272131546 |
L(r)(E,1)/r! |
Ω |
0.42699396512917 |
Real period |
R |
2.0360444427237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336ba1 25584ba1 |
Quadratic twists by: -4 8 |