Atkin-Lehner |
2+ 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71920a |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-5529209600 = -1 · 28 · 52 · 29 · 313 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 3 -6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-881,-10981] |
[a1,a2,a3,a4,a6] |
Generators |
[1574:62455:1] |
Generators of the group modulo torsion |
j |
-295736095744/21598475 |
j-invariant |
L |
5.7307849091161 |
L(r)(E,1)/r! |
Ω |
0.43627845744806 |
Real period |
R |
6.567806423734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35960f1 |
Quadratic twists by: -4 |