Atkin-Lehner |
2+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520d |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1009352960 = 28 · 5 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10876,432960] |
[a1,a2,a3,a4,a6] |
Generators |
[64:56:1] |
Generators of the group modulo torsion |
j |
555816294307024/3942785 |
j-invariant |
L |
3.5791312182156 |
L(r)(E,1)/r! |
Ω |
1.3961303216265 |
Real period |
R |
0.85453608516614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040d1 |
Quadratic twists by: -4 |