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 |
Δ |
-5.3464625353125E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,249187,-1111426383] |
[a1,a2,a3,a4,a6] |
Generators |
[2362:-113681:1] |
Generators of the group modulo torsion |
j |
109516541874518519/34217360226000000 |
j-invariant |
L |
14.129585877733 |
L(r)(E,1)/r! |
Ω |
0.077245201002385 |
Real period |
R |
0.933258285707 |
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 |
15330e2 |
Quadratic twists by: 5 |