Atkin-Lehner |
2- 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550bz |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
569088 |
Modular degree for the optimal curve |
Δ |
-204750720000000 = -1 · 213 · 33 · 57 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10437,553617] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2469:1] [-42:225:1] |
Generators of the group modulo torsion |
j |
8046891319319/13104046080 |
j-invariant |
L |
17.944617197432 |
L(r)(E,1)/r! |
Ω |
0.38475448056817 |
Real period |
R |
0.14948441567967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20910f1 |
Quadratic twists by: 5 |