Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520v |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-426709944000 = -1 · 26 · 37 · 53 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1752,-13822] |
[a1,a2,a3,a4,a6] |
j |
12747309056/9145875 |
j-invariant |
L |
2.1214869540946 |
L(r)(E,1)/r! |
Ω |
0.53037173619521 |
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 |
83520ep2 1305f2 27840bc2 |
Quadratic twists by: -4 8 -3 |