Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760co |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
27541765678694400 = 218 · 36 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283040,57311988] |
[a1,a2,a3,a4,a6] |
Generators |
[-404:10290:1] |
Generators of the group modulo torsion |
j |
5203798902289/57153600 |
j-invariant |
L |
5.99446252387 |
L(r)(E,1)/r! |
Ω |
0.37615494170437 |
Real period |
R |
1.3280127103805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1470m2 47040ec2 35280dy2 58800fd2 |
Quadratic twists by: -4 8 -3 5 |