Atkin-Lehner |
5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
34075b |
Isogeny class |
Conductor |
34075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
561600 |
Modular degree for the optimal curve |
Δ |
-4263434716796875 = -1 · 511 · 292 · 473 |
Discriminant |
Eigenvalues |
-2 0 5+ -4 0 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1496825,704869906] |
[a1,a2,a3,a4,a6] |
Generators |
[721:-682:1] [895:9062:1] |
Generators of the group modulo torsion |
j |
-23736504859171467264/272859821875 |
j-invariant |
L |
3.9326324547528 |
L(r)(E,1)/r! |
Ω |
0.39713158248443 |
Real period |
R |
0.41260804439082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6815a1 |
Quadratic twists by: 5 |