Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bx |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1364268096000 = 29 · 310 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18848,-1000692] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3078:1] |
Generators of the group modulo torsion |
j |
11570779013032/21316689 |
j-invariant |
L |
6.8450451676994 |
L(r)(E,1)/r! |
Ω |
0.40750165606318 |
Real period |
R |
1.6797588588528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bi2 91200gv2 45600k2 |
Quadratic twists by: -4 8 5 |