Atkin-Lehner |
5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975p |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-47564453125 = -1 · 59 · 73 · 71 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 3 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2213,-42344] |
[a1,a2,a3,a4,a6] |
Generators |
[440:8967:1] |
Generators of the group modulo torsion |
j |
-223648543/8875 |
j-invariant |
L |
6.5513105336615 |
L(r)(E,1)/r! |
Ω |
0.34722755127621 |
Real period |
R |
2.3584355950506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17395h1 86975r1 |
Quadratic twists by: 5 -7 |