Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53754l |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-4121441631612 = -1 · 22 · 34 · 177 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1439,-94789] |
[a1,a2,a3,a4,a6] |
Generators |
[1154456200:13604051079:8000000] |
Generators of the group modulo torsion |
j |
13651919/170748 |
j-invariant |
L |
9.0655135261027 |
L(r)(E,1)/r! |
Ω |
0.38309492200659 |
Real period |
R |
11.831941648326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162b1 |
Quadratic twists by: 17 |