Atkin-Lehner |
5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975v |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
-324334395546875 = -1 · 57 · 77 · 712 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- -5 -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-69008,-7054106] |
[a1,a2,a3,a4,a6] |
Generators |
[317:1739:1] |
Generators of the group modulo torsion |
j |
-19770609664/176435 |
j-invariant |
L |
2.4422530969334 |
L(r)(E,1)/r! |
Ω |
0.14720173726998 |
Real period |
R |
2.0738996876452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17395m1 12425e1 |
Quadratic twists by: 5 -7 |