Atkin-Lehner |
2+ 3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290p |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2215460192141610000 = 24 · 318 · 54 · 233 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-439183449,-3542448953507] |
[a1,a2,a3,a4,a6] |
j |
12850915837809895548514873489/3039040044090000 |
j-invariant |
L |
0.7914970402512 |
L(r)(E,1)/r! |
Ω |
0.032979044096622 |
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 |
32430t4 |
Quadratic twists by: -3 |