Atkin-Lehner |
3- 7- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84357i |
Isogeny class |
Conductor |
84357 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3100342548787940547 = -1 · 39 · 72 · 134 · 1034 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272669,100964360] |
[a1,a2,a3,a4,a6] |
j |
-3075402667905267337/4252870437294843 |
j-invariant |
L |
1.8214784671199 |
L(r)(E,1)/r! |
Ω |
0.2276848149534 |
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 |
28119e3 |
Quadratic twists by: -3 |