Atkin-Lehner |
2+ 3- 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610t |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-178376868750000 = -1 · 24 · 3 · 58 · 194 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13987,87656] |
[a1,a2,a3,a4,a6] |
j |
302650970012134199/178376868750000 |
j-invariant |
L |
2.7728946619943 |
L(r)(E,1)/r! |
Ω |
0.34661183275415 |
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 |
124830cd3 |
Quadratic twists by: -3 |