Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
96278r |
Isogeny class |
Conductor |
96278 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2635776 |
Modular degree for the optimal curve |
Δ |
-379461204326084608 = -1 · 212 · 7 · 132 · 238 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 4 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-246525,55557011] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3052:1] |
Generators of the group modulo torsion |
j |
-11192824869409/2563305472 |
j-invariant |
L |
12.055213521472 |
L(r)(E,1)/r! |
Ω |
0.28743007144342 |
Real period |
R |
1.7475574549074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4186a1 |
Quadratic twists by: -23 |