Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540u |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-253831968000 = -1 · 28 · 39 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,537,-23762] |
[a1,a2,a3,a4,a6] |
Generators |
[226:945:8] |
Generators of the group modulo torsion |
j |
91765424/1360125 |
j-invariant |
L |
6.5204607561987 |
L(r)(E,1)/r! |
Ω |
0.4814586769312 |
Real period |
R |
3.3857842161046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180j1 |
Quadratic twists by: -3 |