Atkin-Lehner |
2+ 3+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6438a |
Isogeny class |
Conductor |
6438 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13680 |
Modular degree for the optimal curve |
Δ |
-3149186463198 = -1 · 2 · 33 · 292 · 375 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 1 5 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1801,-91061] |
[a1,a2,a3,a4,a6] |
j |
-646608751905817/3149186463198 |
j-invariant |
L |
0.66242953916223 |
L(r)(E,1)/r! |
Ω |
0.33121476958111 |
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 |
51504h1 19314n1 |
Quadratic twists by: -4 -3 |