Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150z |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-8.4438326257512E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 1 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-741576,-505904202] |
[a1,a2,a3,a4,a6] |
Generators |
[952758:19589894:729] |
Generators of the group modulo torsion |
j |
-23920470625/44783648 |
j-invariant |
L |
5.7564119745367 |
L(r)(E,1)/r! |
Ω |
0.076621459935542 |
Real period |
R |
6.2606611552883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59150bj1 4550v1 |
Quadratic twists by: 5 13 |