Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560t |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-177376791488598000 = -1 · 24 · 37 · 53 · 134 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,573,-20263129] |
[a1,a2,a3,a4,a6] |
Generators |
[427:7605:1] |
Generators of the group modulo torsion |
j |
1783774976/15207200916375 |
j-invariant |
L |
7.5586360622481 |
L(r)(E,1)/r! |
Ω |
0.14720538090823 |
Real period |
R |
1.0697406823481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520l1 |
Quadratic twists by: -3 |