Atkin-Lehner |
2+ 3- 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518g |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8146709486632962 = -1 · 2 · 36 · 7 · 198 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7149,-4338145] |
[a1,a2,a3,a4,a6] |
Generators |
[8390:267785:8] |
Generators of the group modulo torsion |
j |
55424004754383/11175184480978 |
j-invariant |
L |
5.733880057561 |
L(r)(E,1)/r! |
Ω |
0.19538220438723 |
Real period |
R |
7.3367480649481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000123531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12502c4 |
Quadratic twists by: -3 |