Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bo |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
2640 |
Product of Tamagawa factors cp |
Δ |
7.522924584624E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5248600520,63292670950368] |
[a1,a2,a3,a4,a6] |
Generators |
[10756:2843100:1] |
Generators of the group modulo torsion |
j |
386965237776463086681532/182055746334444328125 |
j-invariant |
L |
9.3664818478052 |
L(r)(E,1)/r! |
Ω |
0.020959332348598 |
Real period |
R |
0.67710358937683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76440h2 |
Quadratic twists by: -7 |