Atkin-Lehner |
2- 3- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bh |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-57342072324096 = -1 · 217 · 37 · 7 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 -3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9616,29139] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-1359:1] [11:363:1] |
Generators of the group modulo torsion |
j |
134903087096903/78658535424 |
j-invariant |
L |
13.172589372509 |
L(r)(E,1)/r! |
Ω |
0.37854520660602 |
Real period |
R |
0.25586712790623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29274d1 |
Quadratic twists by: -3 |