Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8880r |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-271825694208000 = -1 · 212 · 315 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38485,3025117] |
[a1,a2,a3,a4,a6] |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
1.6368245931777 |
L(r)(E,1)/r! |
Ω |
0.54560819772591 |
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 |
555b1 35520cm1 26640bf1 44400cj1 |
Quadratic twists by: -4 8 -3 5 |