Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032r |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1495686875812200448 = -1 · 233 · 132 · 1013 |
Discriminant |
Eigenvalues |
2- -2 0 1 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-554913,169452511] |
[a1,a2,a3,a4,a6] |
Generators |
[309:5252:1] |
Generators of the group modulo torsion |
j |
-72087384799131625/5705592635392 |
j-invariant |
L |
3.8799540031631 |
L(r)(E,1)/r! |
Ω |
0.26329041059241 |
Real period |
R |
1.2280337112328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032f2 21008j2 |
Quadratic twists by: -4 8 |