Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cq |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4876593553930715136 = -1 · 242 · 38 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,301236,85080944] |
[a1,a2,a3,a4,a6] |
j |
93603087383/150994944 |
j-invariant |
L |
1.328255589302 |
L(r)(E,1)/r! |
Ω |
0.16603193172435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344fy2 3042e2 32448i2 97344cm2 |
Quadratic twists by: -4 8 -3 13 |