Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956f |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-4.6313511720306E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69612993,-223533775926] |
[a1,a2,a3,a4,a6] |
Generators |
[10678790156317872111917:1093190324406478206385947:676426895111040767] |
Generators of the group modulo torsion |
j |
-8254566209333248000/102472499547 |
j-invariant |
L |
5.7767772144296 |
L(r)(E,1)/r! |
Ω |
0.02613344468022 |
Real period |
R |
36.841534446994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956w1 |
Quadratic twists by: -7 |