Atkin-Lehner |
2- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342bc |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-5.5074567563529E+21 |
Discriminant |
Eigenvalues |
2- 0 0 7- 2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3553710,-4403373607] |
[a1,a2,a3,a4,a6] |
Generators |
[29962247537:2529021058317:3869893] |
Generators of the group modulo torsion |
j |
-42187259133773006625/46812610020934268 |
j-invariant |
L |
10.042142011139 |
L(r)(E,1)/r! |
Ω |
0.052689983837512 |
Real period |
R |
11.911825167769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10906k1 |
Quadratic twists by: -7 |