Atkin-Lehner |
2- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96200z |
Isogeny class |
Conductor |
96200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
2113514000000000 = 210 · 59 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -2 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57875,-4881250] |
[a1,a2,a3,a4,a6] |
Generators |
[-4119334:6703892:24389] |
Generators of the group modulo torsion |
j |
10719307476/1056757 |
j-invariant |
L |
5.7783508061999 |
L(r)(E,1)/r! |
Ω |
0.30975829107002 |
Real period |
R |
9.3271931312559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96200k1 |
Quadratic twists by: 5 |