Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bb |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
43274432839680 = 215 · 312 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18816,-935424] |
[a1,a2,a3,a4,a6] |
Generators |
[528:11664:1] |
Generators of the group modulo torsion |
j |
179874151486849/10565047080 |
j-invariant |
L |
3.9440318483477 |
L(r)(E,1)/r! |
Ω |
0.40912558050064 |
Real period |
R |
1.205018709505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910be1 |
Quadratic twists by: -4 |