Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8700l |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
85151250000 = 24 · 34 · 57 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3133,64988] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2175:1] |
Generators of the group modulo torsion |
j |
13608288256/340605 |
j-invariant |
L |
4.7277516033699 |
L(r)(E,1)/r! |
Ω |
1.0757824584983 |
Real period |
R |
0.183112904086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800bt1 26100w1 1740b1 |
Quadratic twists by: -4 -3 5 |