Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978be |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1812067842816 = 28 · 35 · 72 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141279,20427250] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1140:1] |
Generators of the group modulo torsion |
j |
6364379231465315641/36980976384 |
j-invariant |
L |
5.5854534985441 |
L(r)(E,1)/r! |
Ω |
0.74322619336729 |
Real period |
R |
0.12525243657272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978d1 |
Quadratic twists by: -7 |