Atkin-Lehner |
2- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15620b |
Isogeny class |
Conductor |
15620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-22180400 = -1 · 24 · 52 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11+ 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,69] |
[a1,a2,a3,a4,a6] |
Generators |
[132:945:64] |
Generators of the group modulo torsion |
j |
2173353984/1386275 |
j-invariant |
L |
5.6740965073878 |
L(r)(E,1)/r! |
Ω |
1.3351781322966 |
Real period |
R |
4.2496925092892 |
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 |
62480q1 78100a1 |
Quadratic twists by: -4 5 |