Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bu |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-894388404224000000 = -1 · 224 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,52192,45286388] |
[a1,a2,a3,a4,a6] |
j |
245667233447/13974818816 |
j-invariant |
L |
2.5595861682328 |
L(r)(E,1)/r! |
Ω |
0.21329884597499 |
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 |
10150i2 3248k2 |
Quadratic twists by: -4 5 |