Atkin-Lehner |
2+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
110600g |
Isogeny class |
Conductor |
110600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-681626417500000000 = -1 · 28 · 510 · 7 · 794 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171575,-48229750] |
[a1,a2,a3,a4,a6] |
Generators |
[583333234:13676240946:704969] |
Generators of the group modulo torsion |
j |
-139645113543504/170406604375 |
j-invariant |
L |
5.6953280750196 |
L(r)(E,1)/r! |
Ω |
0.11208429139058 |
Real period |
R |
12.703225417337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22120d1 |
Quadratic twists by: 5 |