Atkin-Lehner |
2+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318g |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
954824291428861952 = 211 · 78 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-470948,115288144] |
[a1,a2,a3,a4,a6] |
Generators |
[-621:13271:1] |
Generators of the group modulo torsion |
j |
98187196835199753/8115872565248 |
j-invariant |
L |
2.0722792625381 |
L(r)(E,1)/r! |
Ω |
0.27220997058752 |
Real period |
R |
1.9031992638483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474a2 |
Quadratic twists by: -7 |