Atkin-Lehner |
2- 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880z |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-570108590161920 = -1 · 230 · 35 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7904,1113856] |
[a1,a2,a3,a4,a6] |
Generators |
[240:4096:1] [138:2194:1] |
Generators of the group modulo torsion |
j |
13330597374431/139186667520 |
j-invariant |
L |
9.2772040134574 |
L(r)(E,1)/r! |
Ω |
0.38070007097247 |
Real period |
R |
6.0922000809196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110bk1 |
Quadratic twists by: -4 |