Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bv |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-9.6440008476539E+18 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,472164,82033252] |
[a1,a2,a3,a4,a6] |
Generators |
[1673:74529:1] |
Generators of the group modulo torsion |
j |
530208386048/439239619 |
j-invariant |
L |
7.5908124468567 |
L(r)(E,1)/r! |
Ω |
0.14870249530977 |
Real period |
R |
0.45577655567625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bs1 5096f1 6552z1 |
Quadratic twists by: -4 -3 -7 |