Atkin-Lehner |
2+ 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022a |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-22800767540572 = -1 · 22 · 7 · 296 · 372 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18651,1005362] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1438:1] [82:129:1] |
Generators of the group modulo torsion |
j |
-717458202814515625/22800767540572 |
j-invariant |
L |
3.8930829966896 |
L(r)(E,1)/r! |
Ω |
0.67363760230278 |
Real period |
R |
8.6687923522518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
120176p2 105154g2 |
Quadratic twists by: -4 -7 |