Atkin-Lehner |
2+ 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710k |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35942400 |
Modular degree for the optimal curve |
Δ |
-2.8413045719175E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 5 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,30310748,49525284016] |
[a1,a2,a3,a4,a6] |
j |
127591024063258622231/117712954934172000 |
j-invariant |
L |
0.63175218221466 |
L(r)(E,1)/r! |
Ω |
0.052645967418983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630i1 |
Quadratic twists by: 17 |