Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574db |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6582822019006464 = -1 · 220 · 32 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30869,-3295951] |
[a1,a2,a3,a4,a6] |
Generators |
[158:2273:1] |
Generators of the group modulo torsion |
j |
228516153239/462422016 |
j-invariant |
L |
10.092866339151 |
L(r)(E,1)/r! |
Ω |
0.21995212864777 |
Real period |
R |
0.57358312472359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722cy1 5082q1 35574be1 |
Quadratic twists by: -3 -7 -11 |