Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800ct |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1636214272000 = -1 · 212 · 53 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,912,-60928] |
[a1,a2,a3,a4,a6] |
j |
163667323/3195731 |
j-invariant |
L |
3.2791992603162 |
L(r)(E,1)/r! |
Ω |
0.40989990753944 |
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 |
1925i1 123200hw1 30800ch1 |
Quadratic twists by: -4 8 5 |