Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480m |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-9280873047600 = -1 · 24 · 316 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2305,-141018] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:6200:27] |
Generators of the group modulo torsion |
j |
84611246065664/580054565475 |
j-invariant |
L |
4.2600552189017 |
L(r)(E,1)/r! |
Ω |
0.3635197603638 |
Real period |
R |
5.859454812908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240bj1 73920ge1 55440h1 92400cm1 |
Quadratic twists by: -4 8 -3 5 |