Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440i |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-196301614178304000 = -1 · 216 · 33 · 53 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-634416,195871680] |
[a1,a2,a3,a4,a6] |
j |
-6894246873502147249/47925198774000 |
j-invariant |
L |
0.63952059000018 |
L(r)(E,1)/r! |
Ω |
0.31976029500009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930n3 29760cv3 22320bv3 37200ct3 |
Quadratic twists by: -4 8 -3 5 |