Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800ck |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-74800 = -1 · 24 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-782] |
[a1,a2,a3,a4,a6] |
Generators |
[14:4:1] [42:262:1] |
Generators of the group modulo torsion |
j |
-996720640/187 |
j-invariant |
L |
7.5214688927586 |
L(r)(E,1)/r! |
Ω |
0.67835265096347 |
Real period |
R |
11.087844769401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18700c1 74800db1 |
Quadratic twists by: -4 5 |