Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bz |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-275968000000000 = -1 · 218 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3992,-792012] |
[a1,a2,a3,a4,a6] |
Generators |
[92:602:1] [148:-1750:1] |
Generators of the group modulo torsion |
j |
109902239/4312000 |
j-invariant |
L |
6.3707865241363 |
L(r)(E,1)/r! |
Ω |
0.26414552580941 |
Real period |
R |
3.0148090264894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850c1 123200fo1 6160k1 |
Quadratic twists by: -4 8 5 |