Atkin-Lehner |
3- 5- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18705j |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-45768796875 = -1 · 34 · 56 · 292 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -3 -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1720,28756] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:187:1] [-35:217:1] |
Generators of the group modulo torsion |
j |
-563068879998976/45768796875 |
j-invariant |
L |
4.4905857879489 |
L(r)(E,1)/r! |
Ω |
1.1127166130644 |
Real period |
R |
0.084076996320399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56115l1 93525c1 |
Quadratic twists by: -3 5 |