Atkin-Lehner |
2+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160d |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-1499760640 = -1 · 211 · 5 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 -3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5003,136218] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-70:1] [41:4:1] |
Generators of the group modulo torsion |
j |
-6762157291458/732305 |
j-invariant |
L |
8.2322766056736 |
L(r)(E,1)/r! |
Ω |
1.4490145656694 |
Real period |
R |
0.35508082530345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17080f1 |
Quadratic twists by: -4 |