Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300cb |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-2268750000 = -1 · 24 · 3 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1833,-30912] |
[a1,a2,a3,a4,a6] |
Generators |
[1353:2017:27] |
Generators of the group modulo torsion |
j |
-901120/3 |
j-invariant |
L |
6.6253627181897 |
L(r)(E,1)/r! |
Ω |
0.36473096157773 |
Real period |
R |
6.0550226661407 |
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 |
108900cz1 36300e1 36300ca1 |
Quadratic twists by: -3 5 -11 |