Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bd |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5935104 |
Modular degree for the optimal curve |
Δ |
-1.7936555205702E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 4 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12598675,-18383995951] |
[a1,a2,a3,a4,a6] |
Generators |
[547412:44967525:64] |
Generators of the group modulo torsion |
j |
-5338508919649/432972864 |
j-invariant |
L |
10.476600417268 |
L(r)(E,1)/r! |
Ω |
0.039881895256366 |
Real period |
R |
10.945443153565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958bf1 |
Quadratic twists by: -23 |