Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245bf |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
184800 |
Modular degree for the optimal curve |
Δ |
38953564453125 = 35 · 511 · 72 · 67 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -5 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9130,147256] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:562:1] |
Generators of the group modulo torsion |
j |
1717859067817984/794970703125 |
j-invariant |
L |
4.0592888654637 |
L(r)(E,1)/r! |
Ω |
0.57908441777949 |
Real period |
R |
0.12745162852389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245c1 |
Quadratic twists by: -7 |