Atkin-Lehner |
5- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525x |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1739520 |
Modular degree for the optimal curve |
Δ |
-26175881139828875 = -1 · 53 · 72 · 1310 · 31 |
Discriminant |
Eigenvalues |
-2 3 5- 7- -2 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-165955,27160906] |
[a1,a2,a3,a4,a6] |
Generators |
[-3687:185633:27] |
Generators of the group modulo torsion |
j |
-4043753966983237632/209407049118631 |
j-invariant |
L |
5.9419889625714 |
L(r)(E,1)/r! |
Ω |
0.37179280400657 |
Real period |
R |
1.9977487792855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525u1 |
Quadratic twists by: 5 |