Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550db |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
252525954844800 = 27 · 34 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116156,-15227782] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:159:1] [-192:169:1] |
Generators of the group modulo torsion |
j |
1202593778785/1752192 |
j-invariant |
L |
9.9624537149326 |
L(r)(E,1)/r! |
Ω |
0.25862922112821 |
Real period |
R |
1.6050090409538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550hq1 95550bk1 |
Quadratic twists by: 5 -7 |