Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480v |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-17748192000 = -1 · 28 · 3 · 53 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,639,-1365] |
[a1,a2,a3,a4,a6] |
Generators |
[1814:77289:1] |
Generators of the group modulo torsion |
j |
112539892736/69328875 |
j-invariant |
L |
5.3339411944419 |
L(r)(E,1)/r! |
Ω |
0.71026325294685 |
Real period |
R |
7.5098087537425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9240s1 73920fl1 55440bd1 92400bb1 |
Quadratic twists by: -4 8 -3 5 |