Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2652d |
Isogeny class |
Conductor |
2652 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
4869072 = 24 · 34 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1249,16580] |
[a1,a2,a3,a4,a6] |
Generators |
[32:102:1] |
Generators of the group modulo torsion |
j |
13478411517952/304317 |
j-invariant |
L |
3.5489877337129 |
L(r)(E,1)/r! |
Ω |
2.2501838865354 |
Real period |
R |
0.78859949067924 |
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 |
10608m1 42432e1 7956d1 66300l1 |
Quadratic twists by: -4 8 -3 5 |