Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cz |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
784 |
Product of Tamagawa factors cp |
deg |
2935296 |
Modular degree for the optimal curve |
Δ |
2610613152000000000 = 214 · 37 · 59 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-918813,-330034383] |
[a1,a2,a3,a4,a6] |
Generators |
[2442:-110721:1] |
Generators of the group modulo torsion |
j |
5490161367129943561/167079241728000 |
j-invariant |
L |
14.129585877733 |
L(r)(E,1)/r! |
Ω |
0.15449040200477 |
Real period |
R |
0.4666291428535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330e1 |
Quadratic twists by: 5 |