Atkin-Lehner |
2+ 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650r |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
-2.328681459825E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,412300,-208446000] |
[a1,a2,a3,a4,a6] |
Generators |
[18430:902035:8] |
Generators of the group modulo torsion |
j |
3968551601644267/11922849074304 |
j-invariant |
L |
3.1368177078058 |
L(r)(E,1)/r! |
Ω |
0.10943512269695 |
Real period |
R |
3.5829649920275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650dl1 |
Quadratic twists by: 5 |