Atkin-Lehner |
3+ 5- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705d |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-4193692272421875 = -1 · 316 · 57 · 29 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 4 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47320,-5060068] |
[a1,a2,a3,a4,a6] |
Generators |
[5522:407301:1] |
Generators of the group modulo torsion |
j |
-11718134907527018881/4193692272421875 |
j-invariant |
L |
3.3089374252586 |
L(r)(E,1)/r! |
Ω |
0.15899317896086 |
Real period |
R |
1.4865585729998 |
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 |
56115d1 93525u1 |
Quadratic twists by: -3 5 |