Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262u |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
102494808 = 23 · 34 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12753,549015] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:1074:1] [13:614:1] |
Generators of the group modulo torsion |
j |
18852954158375/8424 |
j-invariant |
L |
10.772264337198 |
L(r)(E,1)/r! |
Ω |
1.5393496228196 |
Real period |
R |
2.3326440763271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786s2 41262t2 |
Quadratic twists by: -3 -23 |