Atkin-Lehner |
2- 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530s |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
2918400 |
Modular degree for the optimal curve |
Δ |
-245520838776913920 = -1 · 216 · 33 · 5 · 112 · 475 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- -5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16477922,25749656289] |
[a1,a2,a3,a4,a6] |
Generators |
[929:105567:1] |
Generators of the group modulo torsion |
j |
-18325981824498528095274723/9093364399144960 |
j-invariant |
L |
7.3488506061394 |
L(r)(E,1)/r! |
Ω |
0.2555026783036 |
Real period |
R |
0.089882259930203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46530b1 |
Quadratic twists by: -3 |