Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bb |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43473131412480 = 210 · 38 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58816,5500720] |
[a1,a2,a3,a4,a6] |
Generators |
[341:4998:1] |
Generators of the group modulo torsion |
j |
186779563204/360855 |
j-invariant |
L |
4.838086881244 |
L(r)(E,1)/r! |
Ω |
0.64195378693039 |
Real period |
R |
3.7682515738207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000300538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cq4 2640n3 |
Quadratic twists by: -4 -7 |