Atkin-Lehner |
2+ 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280i |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
504983808000 = 211 · 34 · 53 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14040,644112] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1260:1] [-126:630:1] |
Generators of the group modulo torsion |
j |
149460357075122/246574125 |
j-invariant |
L |
10.662611252632 |
L(r)(E,1)/r! |
Ω |
0.92942748966357 |
Real period |
R |
0.15933660730819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59640i1 |
Quadratic twists by: -4 |