Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22200n |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-19980000000 = -1 · 28 · 33 · 57 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,367,-6363] |
[a1,a2,a3,a4,a6] |
Generators |
[27:150:1] |
Generators of the group modulo torsion |
j |
1362944/4995 |
j-invariant |
L |
5.0059417145108 |
L(r)(E,1)/r! |
Ω |
0.61865048864722 |
Real period |
R |
1.011464026614 |
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 |
44400p1 66600s1 4440c1 |
Quadratic twists by: -4 -3 5 |