Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560g |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
119502197760 = 210 · 3 · 5 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3800,-87360] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1778:1] |
Generators of the group modulo torsion |
j |
5927735656804/116701365 |
j-invariant |
L |
6.402236209832 |
L(r)(E,1)/r! |
Ω |
0.60878459435027 |
Real period |
R |
5.2582114165142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280s3 |
Quadratic twists by: -4 |