Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bh |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-89856000000 = -1 · 214 · 33 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3987,-97966] |
[a1,a2,a3,a4,a6] |
j |
-63378025803/812500 |
j-invariant |
L |
3.6021174371115 |
L(r)(E,1)/r! |
Ω |
0.30017645309262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1170b1 37440da1 9360bb3 46800cc1 |
Quadratic twists by: -4 8 -3 5 |