Atkin-Lehner |
3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
60435d |
Isogeny class |
Conductor |
60435 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-763779040875 = -1 · 36 · 53 · 17 · 793 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4818,135414] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:3551:8] [-42:513:1] |
Generators of the group modulo torsion |
j |
-16966668353536/1047707875 |
j-invariant |
L |
6.6788264963553 |
L(r)(E,1)/r! |
Ω |
0.88483508111245 |
Real period |
R |
1.2580171979558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715e1 |
Quadratic twists by: -3 |