Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920cg |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
681737742604800000 = 212 · 39 · 55 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597483,-173265318] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:1358:1] |
Generators of the group modulo torsion |
j |
292583028222603/8456021875 |
j-invariant |
L |
7.5216639530313 |
L(r)(E,1)/r! |
Ω |
0.17202257152126 |
Real period |
R |
3.6437388504535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7245c1 115920cs1 |
Quadratic twists by: -4 -3 |