Atkin-Lehner |
2+ 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022a |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-47367496775639488 = -1 · 26 · 73 · 292 · 376 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,86474,3728520] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:829:1] [189:5085:1] |
Generators of the group modulo torsion |
j |
71513424790746734375/47367496775639488 |
j-invariant |
L |
3.8930829966896 |
L(r)(E,1)/r! |
Ω |
0.22454586743426 |
Real period |
R |
0.9631991502502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176p4 105154g4 |
Quadratic twists by: -4 -7 |