Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370cw |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-94723915860 = -1 · 22 · 34 · 5 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12545,-546253] |
[a1,a2,a3,a4,a6] |
Generators |
[615:14686:1] |
Generators of the group modulo torsion |
j |
-1855878893569/805140 |
j-invariant |
L |
9.5439492665923 |
L(r)(E,1)/r! |
Ω |
0.22554874282216 |
Real period |
R |
2.6446470934488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bf1 |
Quadratic twists by: -7 |