Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126616o |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-24817145476144 = -1 · 24 · 710 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 2 3 7- -5 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1601,-238944] |
[a1,a2,a3,a4,a6] |
Generators |
[468435:8808099:1331] |
Generators of the group modulo torsion |
j |
100352/5491 |
j-invariant |
L |
13.38936509564 |
L(r)(E,1)/r! |
Ω |
0.32130336045254 |
Real period |
R |
10.418008815867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126616k1 |
Quadratic twists by: -7 |