Atkin-Lehner |
3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725f |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
5211159762744140625 = 35 · 511 · 7 · 894 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2834563,1832397656] |
[a1,a2,a3,a4,a6] |
Generators |
[-1220:59572:1] [4486:279570:1] |
Generators of the group modulo torsion |
j |
161198886454879691881/333514224815625 |
j-invariant |
L |
4.8064489077067 |
L(r)(E,1)/r! |
Ω |
0.2423760339602 |
Real period |
R |
19.830545244818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9345f1 |
Quadratic twists by: 5 |