Atkin-Lehner |
3- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70725t |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
209760 |
Modular degree for the optimal curve |
Δ |
-13445485546875 = -1 · 3 · 58 · 234 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5292,-94006] |
[a1,a2,a3,a4,a6] |
Generators |
[12656:133930:343] |
Generators of the group modulo torsion |
j |
41950883840/34420443 |
j-invariant |
L |
4.1398186472433 |
L(r)(E,1)/r! |
Ω |
0.3916420809544 |
Real period |
R |
5.2852066328866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70725e1 |
Quadratic twists by: 5 |