Atkin-Lehner |
2- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36256m |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-477999104 = -1 · 212 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,99,949] |
[a1,a2,a3,a4,a6] |
Generators |
[7:44:1] [55:412:1] |
Generators of the group modulo torsion |
j |
25934336/116699 |
j-invariant |
L |
6.9082208086864 |
L(r)(E,1)/r! |
Ω |
1.1896409681515 |
Real period |
R |
1.4517448948103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256b1 72512a1 |
Quadratic twists by: -4 8 |