Atkin-Lehner |
11- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
109021j |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1914184293501491 = -1 · 119 · 172 · 532 |
Discriminant |
Eigenvalues |
2 -1 -3 4 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-294312,-61393443] |
[a1,a2,a3,a4,a6] |
Generators |
[182653482:795583783:287496] |
Generators of the group modulo torsion |
j |
-1591449956651008/1080507131 |
j-invariant |
L |
10.862145979934 |
L(r)(E,1)/r! |
Ω |
0.10248251137423 |
Real period |
R |
13.248780068114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999518816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9911e1 |
Quadratic twists by: -11 |