Atkin-Lehner |
2- 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43216b |
Isogeny class |
Conductor |
43216 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-1295899868416 = -1 · 28 · 375 · 73 |
Discriminant |
Eigenvalues |
2- 2 -2 3 4 -1 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-644,-54916] |
[a1,a2,a3,a4,a6] |
Generators |
[6649:542124:1] |
Generators of the group modulo torsion |
j |
-115562131792/5062108861 |
j-invariant |
L |
8.409503683216 |
L(r)(E,1)/r! |
Ω |
0.37603015715629 |
Real period |
R |
4.472781516679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10804b1 |
Quadratic twists by: -4 |