Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
113288o |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
3451262576892928 = 210 · 79 · 174 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 6 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1024312,-399353312] |
[a1,a2,a3,a4,a6] |
Generators |
[-53146620:7300412:91125] |
Generators of the group modulo torsion |
j |
34438396 |
j-invariant |
L |
11.313229532105 |
L(r)(E,1)/r! |
Ω |
0.15006942235409 |
Real period |
R |
6.2822200046815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288q1 113288i1 |
Quadratic twists by: -7 17 |