Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960cu |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-6078950073630720 = -1 · 216 · 310 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19083,-3886022] |
[a1,a2,a3,a4,a6] |
Generators |
[164708:8342685:64] |
Generators of the group modulo torsion |
j |
-257380823881/2035828080 |
j-invariant |
L |
5.0156230757086 |
L(r)(E,1)/r! |
Ω |
0.179051217873 |
Real period |
R |
7.0030563230616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870bo1 34320cg1 |
Quadratic twists by: -4 -3 |