Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bt |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
836785857600 = 26 · 36 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5510,-153000] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:66:1] |
Generators of the group modulo torsion |
j |
289119478354624/13074779025 |
j-invariant |
L |
6.9806381953417 |
L(r)(E,1)/r! |
Ω |
0.55567230182585 |
Real period |
R |
1.0468757353937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960bm1 73920eb2 110880w1 |
Quadratic twists by: -4 8 -3 |