Atkin-Lehner |
2+ 3- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870k |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-51558525000 = -1 · 23 · 37 · 55 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 0 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,621,-9315] |
[a1,a2,a3,a4,a6] |
Generators |
[21:102:1] |
Generators of the group modulo torsion |
j |
36297569231/70725000 |
j-invariant |
L |
3.8007323802002 |
L(r)(E,1)/r! |
Ω |
0.58699259973143 |
Real period |
R |
0.64749238410353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28290w1 |
Quadratic twists by: -3 |