Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fy |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[18562304:552955788:29791] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
6.1533604021314 |
L(r)(E,1)/r! |
Ω |
0.12829823780996 |
Real period |
R |
11.990344753004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cq2 24336bw2 32448dc2 97344ft2 |
Quadratic twists by: -4 8 -3 13 |