Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300j |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-34013971200 = -1 · 28 · 3 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146813,21700857] |
[a1,a2,a3,a4,a6] |
Generators |
[136:2057:1] |
Generators of the group modulo torsion |
j |
-30866268160/3 |
j-invariant |
L |
4.5515319787898 |
L(r)(E,1)/r! |
Ω |
0.89491251189112 |
Real period |
R |
2.5430038793243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900bv2 36300cg2 300a2 |
Quadratic twists by: -3 5 -11 |