Atkin-Lehner |
2- 3+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15318h |
Isogeny class |
Conductor |
15318 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
228071172528 = 24 · 39 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2783,-50921] |
[a1,a2,a3,a4,a6] |
j |
121066986123/11587216 |
j-invariant |
L |
5.2909533408429 |
L(r)(E,1)/r! |
Ω |
0.66136916760536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122544s2 15318b2 |
Quadratic twists by: -4 -3 |