Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578c |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1880336436804 = 22 · 39 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4713,-104455] |
[a1,a2,a3,a4,a6] |
j |
5000211/812 |
j-invariant |
L |
1.1650649750799 |
L(r)(E,1)/r! |
Ω |
0.58253248753993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25578bg1 3654c1 |
Quadratic twists by: -3 -7 |