Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800cn |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-91200000000 = -1 · 212 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6208,190912] |
[a1,a2,a3,a4,a6] |
Generators |
[42:50:1] |
Generators of the group modulo torsion |
j |
-16539745/57 |
j-invariant |
L |
2.9901239294767 |
L(r)(E,1)/r! |
Ω |
1.0766983027824 |
Real period |
R |
0.46285388112741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1425j1 91200jk1 68400gc1 22800da1 |
Quadratic twists by: -4 8 -3 5 |