Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59780m |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
1072541226050000 = 24 · 55 · 78 · 612 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 4 6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2500045,1520658768] |
[a1,a2,a3,a4,a6] |
j |
918034792531492864/569778125 |
j-invariant |
L |
2.0255538503951 |
L(r)(E,1)/r! |
Ω |
0.40511076916147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8540b1 |
Quadratic twists by: -7 |