Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bh |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-116190014530078125 = -1 · 34 · 58 · 710 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -5 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,118800,-4485375] |
[a1,a2,a3,a4,a6] |
Generators |
[360:9045:1] |
Generators of the group modulo torsion |
j |
1680455/1053 |
j-invariant |
L |
3.5946542052631 |
L(r)(E,1)/r! |
Ω |
0.19126462771954 |
Real period |
R |
3.1323566795969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775ct1 47775db1 |
Quadratic twists by: 5 -7 |