Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670a |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.1669976084472E+24 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-117911258,497825942492] |
[a1,a2,a3,a4,a6] |
Generators |
[130323:-5544023:27] |
Generators of the group modulo torsion |
j |
-38166856870016053369/456200011305640 |
j-invariant |
L |
5.8776998995989 |
L(r)(E,1)/r! |
Ω |
0.082654011770554 |
Real period |
R |
8.8890117779067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000181305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2870d2 |
Quadratic twists by: 41 |