Atkin-Lehner |
3- 11+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84249f |
Isogeny class |
Conductor |
84249 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-52266310371 = -1 · 38 · 11 · 232 · 372 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49,10986] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:63:1] [-12:98:1] |
Generators of the group modulo torsion |
j |
18191447/71695899 |
j-invariant |
L |
5.2254733287411 |
L(r)(E,1)/r! |
Ω |
0.88288359503358 |
Real period |
R |
1.479660896914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28083a2 |
Quadratic twists by: -3 |