Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cf |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
37984665600 = 220 · 32 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12160,-512000] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:8:1] |
Generators of the group modulo torsion |
j |
48551226272641/9273600 |
j-invariant |
L |
5.0373673777993 |
L(r)(E,1)/r! |
Ω |
0.45464054382044 |
Real period |
R |
2.7699725894821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bh1 115920dm1 |
Quadratic twists by: -4 -3 |