Atkin-Lehner |
3- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587i |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-130198353121581723 = -1 · 322 · 11 · 233 · 31 |
Discriminant |
Eigenvalues |
0 3- -4 0 11- -5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-51132,17921776] |
[a1,a2,a3,a4,a6] |
Generators |
[28:4063:1] |
Generators of the group modulo torsion |
j |
-20280306979569664/178598563952787 |
j-invariant |
L |
2.76528452479 |
L(r)(E,1)/r! |
Ω |
0.28150665219752 |
Real period |
R |
4.9115793598445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23529a1 |
Quadratic twists by: -3 |