Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bd |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
79833600 |
Modular degree for the optimal curve |
Δ |
-2.6082930167504E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-318245373,3288258116056] |
[a1,a2,a3,a4,a6] |
Generators |
[-19750:1377342:1] |
Generators of the group modulo torsion |
j |
-30298544384700485159470009/22170124835318241331200 |
j-invariant |
L |
6.1583476517078 |
L(r)(E,1)/r! |
Ω |
0.041950105727557 |
Real period |
R |
0.29127325321061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810b1 |
Quadratic twists by: -7 |