Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11592d |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-818116853058288 = -1 · 24 · 36 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75771,-8145009] |
[a1,a2,a3,a4,a6] |
Generators |
[9057:55223:27] |
Generators of the group modulo torsion |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
3.5751704904897 |
L(r)(E,1)/r! |
Ω |
0.14373263309948 |
Real period |
R |
2.0728130264006 |
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 |
23184m1 92736bn1 1288g1 81144v1 |
Quadratic twists by: -4 8 -3 -7 |