Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ew |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.3620319432E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,507967,241505937] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:11907:1] |
Generators of the group modulo torsion |
j |
1925134784/4465125 |
j-invariant |
L |
3.8022034482886 |
L(r)(E,1)/r! |
Ω |
0.14423088144181 |
Real period |
R |
3.2952404181782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600gt2 23520p2 16800bs2 |
Quadratic twists by: -4 5 -7 |