Atkin-Lehner |
7- 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
75509c |
Isogeny class |
Conductor |
75509 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-95906170661 = -1 · 76 · 233 · 67 |
Discriminant |
Eigenvalues |
-1 -1 1 7- 2 -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,195,14944] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:35:1] |
Generators of the group modulo torsion |
j |
6967871/815189 |
j-invariant |
L |
2.8769832568415 |
L(r)(E,1)/r! |
Ω |
0.82003504941846 |
Real period |
R |
1.7541831032889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1541a1 |
Quadratic twists by: -7 |