Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920by |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-700547678208000 = -1 · 217 · 38 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19000,784500] |
[a1,a2,a3,a4,a6] |
Generators |
[190:3360:1] |
Generators of the group modulo torsion |
j |
185183253170999/171032148000 |
j-invariant |
L |
8.3108413615417 |
L(r)(E,1)/r! |
Ω |
0.33272381681658 |
Real period |
R |
0.086729854018284 |
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 |
3990i1 127680eg1 95760do1 |
Quadratic twists by: -4 8 -3 |