Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fm |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-9408000000 = -1 · 212 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-933,12237] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:125:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
5.7843441519122 |
L(r)(E,1)/r! |
Ω |
1.2625113833024 |
Real period |
R |
2.2908087120993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3675n1 2352u1 58800hu1 |
Quadratic twists by: -4 5 -7 |