Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cz |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
3314879935963200 = 26 · 33 · 52 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57806,-4581180] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:940:1] |
Generators of the group modulo torsion |
j |
885012508801/137332800 |
j-invariant |
L |
12.394320044119 |
L(r)(E,1)/r! |
Ω |
0.31111317698113 |
Real period |
R |
1.1066283686717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bd1 |
Quadratic twists by: 17 |