Atkin-Lehner |
7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74851a |
Isogeny class |
Conductor |
74851 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3769920 |
Modular degree for the optimal curve |
Δ |
2.272892743053E+21 |
Discriminant |
Eigenvalues |
-1 1 0 7+ 6 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14033268,20102613761] |
[a1,a2,a3,a4,a6] |
Generators |
[4733333:161594556:1331] |
Generators of the group modulo torsion |
j |
151604103966625/1127430367 |
j-invariant |
L |
3.7557331152819 |
L(r)(E,1)/r! |
Ω |
0.14660085376114 |
Real period |
R |
12.809383502204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74851g1 |
Quadratic twists by: 17 |