Atkin-Lehner |
17+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
126293a |
Isogeny class |
Conductor |
126293 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-242606706019 = -1 · 176 · 19 · 232 |
Discriminant |
Eigenvalues |
2 -2 -1 3 -5 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-96,-23733] |
[a1,a2,a3,a4,a6] |
Generators |
[120358:661557:2744] |
Generators of the group modulo torsion |
j |
-4096/10051 |
j-invariant |
L |
7.0525935614639 |
L(r)(E,1)/r! |
Ω |
0.44773046346797 |
Real period |
R |
7.8759365671611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
437b1 |
Quadratic twists by: 17 |