Atkin-Lehner |
3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15921b |
Isogeny class |
Conductor |
15921 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-66157820901 = -1 · 36 · 293 · 612 |
Discriminant |
Eigenvalues |
1 3- -3 4 -1 1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22896,1339281] |
[a1,a2,a3,a4,a6] |
j |
-1820898350896897/90751469 |
j-invariant |
L |
2.0772643142896 |
L(r)(E,1)/r! |
Ω |
1.0386321571448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1769a1 |
Quadratic twists by: -3 |