Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760ca |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-44431441920 = -1 · 217 · 37 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1025,16545] |
[a1,a2,a3,a4,a6] |
j |
-909513218/338985 |
j-invariant |
L |
2.1416188278794 |
L(r)(E,1)/r! |
Ω |
1.07080941394 |
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 |
29760bf1 7440f1 89280eq1 |
Quadratic twists by: -4 8 -3 |