Atkin-Lehner |
2+ 3- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870v |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
524580356505600 = 214 · 310 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24399,-962195] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:362:1] |
Generators of the group modulo torsion |
j |
2203546792136689/719588966400 |
j-invariant |
L |
4.7553408764923 |
L(r)(E,1)/r! |
Ω |
0.39193914501351 |
Real period |
R |
3.0332137856554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290j1 |
Quadratic twists by: -3 |