Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100bi |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
31996069706250000 = 24 · 313 · 58 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93458,-6877287] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:1053:1] [-242:1275:1] |
Generators of the group modulo torsion |
j |
14444342920960/5119371153 |
j-invariant |
L |
11.324846402735 |
L(r)(E,1)/r! |
Ω |
0.28104008388525 |
Real period |
R |
0.17220596731204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100i1 |
Quadratic twists by: 5 |