Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330v |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-68057257907978240 = -1 · 217 · 5 · 117 · 732 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11- -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-215201,-40441015] |
[a1,a2,a3,a4,a6] |
Generators |
[1154:-35909:1] |
Generators of the group modulo torsion |
j |
-622157846298409/38416547840 |
j-invariant |
L |
7.5552390149217 |
L(r)(E,1)/r! |
Ω |
0.11043555564552 |
Real period |
R |
1.0060750401136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030a1 |
Quadratic twists by: -11 |