Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300cg |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-531468300000000 = -1 · 28 · 3 · 58 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3670333,2705266463] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:3267:1] |
Generators of the group modulo torsion |
j |
-30866268160/3 |
j-invariant |
L |
7.0373948517505 |
L(r)(E,1)/r! |
Ω |
0.40021704210072 |
Real period |
R |
2.9306576646561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900dj2 36300j2 300b2 |
Quadratic twists by: -3 5 -11 |