Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494ca |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-2830948041649609728 = -1 · 210 · 36 · 73 · 116 · 792 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,273598,59252545] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7817:1] |
Generators of the group modulo torsion |
j |
3106965472897304871/3883330646981632 |
j-invariant |
L |
6.0954948202816 |
L(r)(E,1)/r! |
Ω |
0.1707955776728 |
Real period |
R |
0.59481388245186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999681925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166b1 |
Quadratic twists by: -3 |