Atkin-Lehner |
3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
35145h |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-378238681420875 = -1 · 37 · 53 · 117 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- -4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9987,853218] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:544:1] [-61:130:1] |
Generators of the group modulo torsion |
j |
151112828063744/518845927875 |
j-invariant |
L |
4.2020151922799 |
L(r)(E,1)/r! |
Ω |
0.37954131695526 |
Real period |
R |
0.39540351589845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715h1 |
Quadratic twists by: -3 |