Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dw |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.5402473867382E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52799916,192214623440] |
[a1,a2,a3,a4,a6] |
Generators |
[176:427700:1] [5501:261205:1] |
Generators of the group modulo torsion |
j |
-85183593440646799657/34223681512621656 |
j-invariant |
L |
10.131131523765 |
L(r)(E,1)/r! |
Ω |
0.070471712859944 |
Real period |
R |
71.880837816592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cj3 26928bt3 35904bx3 |
Quadratic twists by: -4 8 -3 |