Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bt |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-52000911360 = -1 · 212 · 310 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,10906] |
[a1,a2,a3,a4,a6] |
j |
357911/17415 |
j-invariant |
L |
3.411866808979 |
L(r)(E,1)/r! |
Ω |
0.852966702245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1935k1 123840fc1 10320bb1 |
Quadratic twists by: -4 8 -3 |