Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bv |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-42539996016000000 = -1 · 210 · 36 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,57892,-8364769] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1677:1] |
Generators of the group modulo torsion |
j |
29434650064089479/58353904000000 |
j-invariant |
L |
7.6135478160665 |
L(r)(E,1)/r! |
Ω |
0.18846267269754 |
Real period |
R |
0.6733028975173 |
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 |
2170h1 97650y1 |
Quadratic twists by: -3 5 |