Atkin-Lehner |
2- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73100c |
Isogeny class |
Conductor |
73100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-4970800 = -1 · 24 · 52 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -3 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40,45] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
17694720/12427 |
j-invariant |
L |
5.8204051917583 |
L(r)(E,1)/r! |
Ω |
1.5385290229157 |
Real period |
R |
1.8915487145311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73100e1 |
Quadratic twists by: 5 |