Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360m |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-727833600 = -1 · 210 · 37 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,1298] |
[a1,a2,a3,a4,a6] |
Generators |
[1:36:1] |
Generators of the group modulo torsion |
j |
-4/975 |
j-invariant |
L |
4.4907714222768 |
L(r)(E,1)/r! |
Ω |
1.2769313052522 |
Real period |
R |
0.43960581550136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4680p1 37440ez1 3120e1 46800s1 |
Quadratic twists by: -4 8 -3 5 |