Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bm |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-21934804715513928 = -1 · 23 · 33 · 7 · 299 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-224705,41669145] |
[a1,a2,a3,a4,a6] |
Generators |
[7815:20468:27] |
Generators of the group modulo torsion |
j |
-78128296875/1365784 |
j-invariant |
L |
11.304268126789 |
L(r)(E,1)/r! |
Ω |
0.38235215556247 |
Real period |
R |
1.2318779046742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966g2 3654d1 |
Quadratic twists by: -3 29 |