Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432z |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-91251277824 = -1 · 224 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2352,47040] |
[a1,a2,a3,a4,a6] |
j |
-351447414193/22278144 |
j-invariant |
L |
2.111423787392 |
L(r)(E,1)/r! |
Ω |
1.055711893696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554m1 49728ek1 37296bq1 87024ds1 |
Quadratic twists by: -4 8 -3 -7 |