Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570ca |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
620928 |
Modular degree for the optimal curve |
Δ |
-5275827812075520 = -1 · 211 · 3 · 5 · 78 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-334475,-74676295] |
[a1,a2,a3,a4,a6] |
Generators |
[755:9814:1] |
Generators of the group modulo torsion |
j |
-717844637439601/915179520 |
j-invariant |
L |
8.2160323303739 |
L(r)(E,1)/r! |
Ω |
0.099253411370215 |
Real period |
R |
2.5084344531904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570db1 |
Quadratic twists by: -7 |