Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910cb |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
36864000 |
Modular degree for the optimal curve |
Δ |
3.105833255267E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-532893670,4727059649507] |
[a1,a2,a3,a4,a6] |
Generators |
[12627:-114359:1] |
Generators of the group modulo torsion |
j |
142251598903441575328271569/263991470838423552000 |
j-invariant |
L |
8.4199105953756 |
L(r)(E,1)/r! |
Ω |
0.066000005615806 |
Real period |
R |
2.6577998349405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002199 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130bc1 |
Quadratic twists by: -7 |