Atkin-Lehner |
2+ 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350d |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
145362116178125000 = 23 · 58 · 7 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5794292,5369864616] |
[a1,a2,a3,a4,a6] |
Generators |
[-10418:832959:8] [-271:83323:1] |
Generators of the group modulo torsion |
j |
1376907801352978443921/9303175435400 |
j-invariant |
L |
8.3170737999024 |
L(r)(E,1)/r! |
Ω |
0.29135464068924 |
Real period |
R |
3.5682775557384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870p4 |
Quadratic twists by: 5 |