Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746l |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-187054312592762496 = -1 · 27 · 314 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-327231,75075853] |
[a1,a2,a3,a4,a6] |
Generators |
[401:2666:1] |
Generators of the group modulo torsion |
j |
-45182682230113/2180981376 |
j-invariant |
L |
3.6516081173957 |
L(r)(E,1)/r! |
Ω |
0.31596196931883 |
Real period |
R |
2.8892781979761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582s1 6678f1 |
Quadratic twists by: -3 -7 |