Atkin-Lehner |
2- 3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610x |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2818020996093750 = -1 · 2 · 3 · 512 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12211,2601239] |
[a1,a2,a3,a4,a6] |
j |
-201362979509024689/2818020996093750 |
j-invariant |
L |
3.0689277455574 |
L(r)(E,1)/r! |
Ω |
0.38361596819518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830bd2 |
Quadratic twists by: -3 |