Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272j |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-860212481163264 = -1 · 216 · 32 · 196 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146232,21520980] |
[a1,a2,a3,a4,a6] |
j |
-84429456495634873/210012812784 |
j-invariant |
L |
6.0168695515678 |
L(r)(E,1)/r! |
Ω |
0.50140579596394 |
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 |
3534b1 113088v1 84816q1 |
Quadratic twists by: -4 8 -3 |