Atkin-Lehner |
5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975r |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-5595910345703125 = -1 · 59 · 79 · 71 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 3 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108438,14198617] |
[a1,a2,a3,a4,a6] |
Generators |
[347:4114:1] |
Generators of the group modulo torsion |
j |
-223648543/8875 |
j-invariant |
L |
2.2121036524586 |
L(r)(E,1)/r! |
Ω |
0.42457480034021 |
Real period |
R |
1.3025405933126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17395l1 86975p1 |
Quadratic twists by: 5 -7 |