Atkin-Lehner |
2- 3- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140m |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-81488459808000 = -1 · 28 · 38 · 53 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-434306] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1890:1] |
Generators of the group modulo torsion |
j |
35969456/436645125 |
j-invariant |
L |
7.4269369604561 |
L(r)(E,1)/r! |
Ω |
0.28104172171676 |
Real period |
R |
2.2022047376123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37380g2 |
Quadratic twists by: -3 |