Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978f |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-2081046663234 = -1 · 2 · 36 · 74 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,367,-69201] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2432:1] |
Generators of the group modulo torsion |
j |
2267145671/866741634 |
j-invariant |
L |
2.8851569535432 |
L(r)(E,1)/r! |
Ω |
0.38728243434092 |
Real period |
R |
0.62081242217623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978ba1 |
Quadratic twists by: -7 |