Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360c |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-6550502400 = -1 · 210 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-4158] |
[a1,a2,a3,a4,a6] |
j |
-78732/325 |
j-invariant |
L |
2.2035694674897 |
L(r)(E,1)/r! |
Ω |
0.55089236687243 |
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 |
4680k1 37440dg1 9360g1 46800b1 |
Quadratic twists by: -4 8 -3 5 |