Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910cd |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
1408 |
Product of Tamagawa factors cp |
deg |
152469504 |
Modular degree for the optimal curve |
Δ |
-1.2557738893019E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4978862806,-135328612614364] |
[a1,a2,a3,a4,a6] |
j |
-116018153744412142670258684881/106739019396843621580800 |
j-invariant |
L |
3.163047541382 |
L(r)(E,1)/r! |
Ω |
0.0089859305880175 |
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 |
11130z1 |
Quadratic twists by: -7 |