Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cd |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-58104824810731776 = -1 · 28 · 32 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21740,11538932] |
[a1,a2,a3,a4,a6] |
Generators |
[-5091:23716:27] |
Generators of the group modulo torsion |
j |
176/9 |
j-invariant |
L |
9.4921573149448 |
L(r)(E,1)/r! |
Ω |
0.26745117027076 |
Real period |
R |
2.9575982364238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1452a1 71148cf1 |
Quadratic twists by: -7 -11 |