Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078dl |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
101344218196245024 = 25 · 3 · 76 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-152716262,-726413071164] |
[a1,a2,a3,a4,a6] |
Generators |
[-192642:96664:27] |
Generators of the group modulo torsion |
j |
482872808385731249473/124237344 |
j-invariant |
L |
10.955272141284 |
L(r)(E,1)/r! |
Ω |
0.04294654522147 |
Real period |
R |
2.8343431444359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078bb2 |
Quadratic twists by: 13 |