Atkin-Lehner |
3- 11- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28083f |
Isogeny class |
Conductor |
28083 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
649600 |
Modular degree for the optimal curve |
Δ |
655526951296569 = 314 · 115 · 23 · 37 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- -6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2856029,1857531984] |
[a1,a2,a3,a4,a6] |
Generators |
[979:-308:1] |
Generators of the group modulo torsion |
j |
2576389736710921696581457/655526951296569 |
j-invariant |
L |
2.3306709710228 |
L(r)(E,1)/r! |
Ω |
0.40833207489572 |
Real period |
R |
0.32615904194685 |
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 |
84249d1 |
Quadratic twists by: -3 |