Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bz |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3473838297657406250 = -1 · 2 · 56 · 116 · 137 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 11- 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-643380,218096497] |
[a1,a2,a3,a4,a6] |
Generators |
[41206104853483009426533498:590274664362131041734393091:59309719342038837024696] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
19.062812450025 |
L(r)(E,1)/r! |
Ω |
0.24325902233073 |
Real period |
R |
39.182128307881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146i2 650f2 |
Quadratic twists by: 5 -11 |