Atkin-Lehner |
3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525i |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-4571912109375 = -1 · 36 · 59 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14575,679000] |
[a1,a2,a3,a4,a6] |
Generators |
[360:6320:1] |
Generators of the group modulo torsion |
j |
-175333911173/2340819 |
j-invariant |
L |
5.3858024594166 |
L(r)(E,1)/r! |
Ω |
0.77623857451795 |
Real period |
R |
3.4691669779238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55575bc1 18525s1 |
Quadratic twists by: -3 5 |