Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bp |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
269132500000000 = 28 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18333,-544537] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:374:1] |
Generators of the group modulo torsion |
j |
272588800/107653 |
j-invariant |
L |
7.0537116331469 |
L(r)(E,1)/r! |
Ω |
0.42443515409839 |
Real period |
R |
4.1547640228633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100b1 36400cm1 |
Quadratic twists by: -4 5 |