Atkin-Lehner |
2+ 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328c |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.3424411183083E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6955231,-22192083615] |
[a1,a2,a3,a4,a6] |
j |
1135555565939365431736/7148562983118668241 |
j-invariant |
L |
0.3961292785197 |
L(r)(E,1)/r! |
Ω |
0.049516190243304 |
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 |
107328r3 53664f2 |
Quadratic twists by: -4 8 |