Atkin-Lehner |
2+ 3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290o |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-629081289126630 = -1 · 2 · 314 · 5 · 234 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14526,-1004702] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2815:1] [813:22996:1] |
Generators of the group modulo torsion |
j |
464962026758111/862937296470 |
j-invariant |
L |
7.3764716480577 |
L(r)(E,1)/r! |
Ω |
0.26862519985144 |
Real period |
R |
13.730044042063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430u3 |
Quadratic twists by: -3 |