Atkin-Lehner |
5+ 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785f |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-519239616875 = -1 · 54 · 73 · 174 · 29 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- -4 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1337,29118] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:87:1] [11:-213:1] |
Generators of the group modulo torsion |
j |
770590789632/1513818125 |
j-invariant |
L |
2.8900991411156 |
L(r)(E,1)/r! |
Ω |
0.64004784759466 |
Real period |
R |
0.28221514526486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120785l1 |
Quadratic twists by: -7 |