Atkin-Lehner |
2- 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810q |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
140931715026750840 = 23 · 35 · 5 · 17 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-900520,328046897] |
[a1,a2,a3,a4,a6] |
j |
80761398412949110615681/140931715026750840 |
j-invariant |
L |
1.9622421634089 |
L(r)(E,1)/r! |
Ω |
0.32704036056815 |
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 |
126480cc4 47430h4 79050w4 |
Quadratic twists by: -4 -3 5 |