Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450co |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-446558062500 = -1 · 22 · 310 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042,-71384] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1424:1] |
Generators of the group modulo torsion |
j |
-2259169/324 |
j-invariant |
L |
4.7248061057036 |
L(r)(E,1)/r! |
Ω |
0.31888590506946 |
Real period |
R |
3.7041509443405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cd1 2178j1 54450gi1 |
Quadratic twists by: -3 5 -11 |