Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496u |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-331962978071088 = -1 · 24 · 35 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97319,11750760] |
[a1,a2,a3,a4,a6] |
Generators |
[172:266:1] |
Generators of the group modulo torsion |
j |
-6370904647984617472/20747686129443 |
j-invariant |
L |
4.6496483035701 |
L(r)(E,1)/r! |
Ω |
0.54354723241913 |
Real period |
R |
2.1385668191509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992q1 124488r1 |
Quadratic twists by: -4 -3 |