Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101080r |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-7528438400000 = -1 · 210 · 55 · 73 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-880,-132100] |
[a1,a2,a3,a4,a6] |
Generators |
[70:380:1] |
Generators of the group modulo torsion |
j |
-10742476/1071875 |
j-invariant |
L |
5.6797958064603 |
L(r)(E,1)/r! |
Ω |
0.32849561340591 |
Real period |
R |
0.86451623423766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101080f1 |
Quadratic twists by: -19 |