Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75400b |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
191232 |
Modular degree for the optimal curve |
Δ |
-50729120000000 = -1 · 211 · 57 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -4 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5992,-290512] |
[a1,a2,a3,a4,a6] |
Generators |
[923:28150:1] |
Generators of the group modulo torsion |
j |
743389918/1585285 |
j-invariant |
L |
6.4000973920652 |
L(r)(E,1)/r! |
Ω |
0.32911587667893 |
Real period |
R |
4.8615835993634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15080j1 |
Quadratic twists by: 5 |