Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400t |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-9728000000000 = -1 · 218 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,150000] |
[a1,a2,a3,a4,a6] |
j |
27/19 |
j-invariant |
L |
1.13316297945 |
L(r)(E,1)/r! |
Ω |
0.56658148972579 |
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 |
30400ca1 475b1 30400s1 |
Quadratic twists by: -4 8 5 |