Atkin-Lehner |
2+ 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bd |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1736959253906250 = 2 · 36 · 59 · 112 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-166326,26017798] |
[a1,a2,a3,a4,a6] |
Generators |
[86:3471:1] |
Generators of the group modulo torsion |
j |
260537564663909/889323138 |
j-invariant |
L |
4.7974244152993 |
L(r)(E,1)/r! |
Ω |
0.47362106740243 |
Real period |
R |
0.84410385681445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999956943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117150bq2 |
Quadratic twists by: 5 |