Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3330v |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1164712196805120 = -1 · 29 · 38 · 5 · 375 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 2 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1652,-1641769] |
[a1,a2,a3,a4,a6] |
j |
-683565019129/1597684769280 |
j-invariant |
L |
3.9758201571191 |
L(r)(E,1)/r! |
Ω |
0.22087889761773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26640bo1 106560bu1 1110e1 16650w1 |
Quadratic twists by: -4 8 -3 5 |