Atkin-Lehner |
5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59245c |
Isogeny class |
Conductor |
59245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
24741008225 = 52 · 176 · 41 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 -6 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6075,-182600] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:35:1] [-354:241:8] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
4.139375887581 |
L(r)(E,1)/r! |
Ω |
0.54080242327778 |
Real period |
R |
7.6541370922268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205b1 |
Quadratic twists by: 17 |