Atkin-Lehner |
2- 3+ 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bv |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-764043750000 = -1 · 24 · 32 · 58 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1088,-44719] |
[a1,a2,a3,a4,a6] |
Generators |
[51:163:1] |
Generators of the group modulo torsion |
j |
-9116230969/48898800 |
j-invariant |
L |
9.8068268013485 |
L(r)(E,1)/r! |
Ω |
0.37392395895582 |
Real period |
R |
3.278349321322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999437102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970e1 |
Quadratic twists by: 5 |