Atkin-Lehner |
3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18315f |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
6353015625 = 33 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10779,-428040] |
[a1,a2,a3,a4,a6] |
Generators |
[1518:15891:8] |
Generators of the group modulo torsion |
j |
5130007819771563/235296875 |
j-invariant |
L |
6.7606921999941 |
L(r)(E,1)/r! |
Ω |
0.46854816708253 |
Real period |
R |
2.4048371384065 |
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 |
18315b1 91575m1 |
Quadratic twists by: -3 5 |