Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800z |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-163979200000000 = -1 · 212 · 58 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14675,-920750] |
[a1,a2,a3,a4,a6] |
j |
-5461074081/2562175 |
j-invariant |
L |
0.848431839406 |
L(r)(E,1)/r! |
Ω |
0.21210795985081 |
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 |
1925e1 123200el1 6160n1 |
Quadratic twists by: -4 8 5 |