Atkin-Lehner |
2+ 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482bi |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
688896396462757392 = 24 · 310 · 77 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6310981,-6102692704] |
[a1,a2,a3,a4,a6] |
j |
236279471706563181625/5855522753808 |
j-invariant |
L |
1.9050478738027 |
L(r)(E,1)/r! |
Ω |
0.095252413919664 |
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 |
16926n1 |
Quadratic twists by: -7 |