Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362x |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
923400 |
Modular degree for the optimal curve |
Δ |
-240699343395816008 = -1 · 23 · 116 · 198 |
Discriminant |
Eigenvalues |
2- 1 0 4 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,86452,21488600] |
[a1,a2,a3,a4,a6] |
Generators |
[-2706636670706:11560223952222:15197705333] |
Generators of the group modulo torsion |
j |
2375/8 |
j-invariant |
L |
14.103523223632 |
L(r)(E,1)/r! |
Ω |
0.22144613111497 |
Real period |
R |
21.22942669717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722a1 87362r1 |
Quadratic twists by: -11 -19 |