Atkin-Lehner |
2+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3266a |
Isogeny class |
Conductor |
3266 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28712 |
Modular degree for the optimal curve |
Δ |
-224437811019776 = -1 · 237 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ -3 -3 2 -4 1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15134,73876] |
[a1,a2,a3,a4,a6] |
j |
383326425227048967/224437811019776 |
j-invariant |
L |
0.3388144077135 |
L(r)(E,1)/r! |
Ω |
0.3388144077135 |
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 |
26128d1 104512a1 29394m1 81650q1 |
Quadratic twists by: -4 8 -3 5 |