Atkin-Lehner |
2- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47120i |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-440506408960000 = -1 · 216 · 54 · 192 · 313 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,-1009798] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1550:1] |
Generators of the group modulo torsion |
j |
-225866529/107545510000 |
j-invariant |
L |
2.3510008498776 |
L(r)(E,1)/r! |
Ω |
0.24196947001193 |
Real period |
R |
0.80967544161415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890e1 |
Quadratic twists by: -4 |