Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664w |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42699614281777152 = 214 · 318 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117265,-11795279] |
[a1,a2,a3,a4,a6] |
j |
10884605672501584/2606177629503 |
j-invariant |
L |
0.52495381765777 |
L(r)(E,1)/r! |
Ω |
0.26247690893453 |
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 |
41664dv2 2604e2 124992cy2 |
Quadratic twists by: -4 8 -3 |