Atkin-Lehner |
2- 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810q |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-399443445411840 = -1 · 212 · 35 · 5 · 174 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18160,200945] |
[a1,a2,a3,a4,a6] |
j |
662322867730179839/399443445411840 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480cc1 47430h1 79050w1 |
Quadratic twists by: -4 -3 5 |