Atkin-Lehner |
3- 11- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
86229i |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
801280 |
Modular degree for the optimal curve |
Δ |
-58977580647843 = -1 · 316 · 112 · 132 · 67 |
Discriminant |
Eigenvalues |
0 3- -2 -2 11- 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3174636,-2177153375] |
[a1,a2,a3,a4,a6] |
Generators |
[2059:3919:1] |
Generators of the group modulo torsion |
j |
-4853756600999051788288/80902031067 |
j-invariant |
L |
2.5579909524538 |
L(r)(E,1)/r! |
Ω |
0.056551753336489 |
Real period |
R |
5.654092949645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28743a1 |
Quadratic twists by: -3 |