Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360u |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-61374513332171520 = -1 · 28 · 317 · 5 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87468,6552236] |
[a1,a2,a3,a4,a6] |
j |
396555344454656/328867205355 |
j-invariant |
L |
2.2666881447193 |
L(r)(E,1)/r! |
Ω |
0.22666881447193 |
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 |
4680u1 37440dx1 3120b1 46800r1 |
Quadratic twists by: -4 8 -3 5 |