Atkin-Lehner |
2+ 3- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370q |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
76719484108800 = 216 · 310 · 52 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10629,-15147] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:456:1] |
Generators of the group modulo torsion |
j |
182178192210769/105239347200 |
j-invariant |
L |
5.1731731979604 |
L(r)(E,1)/r! |
Ω |
0.51365890040558 |
Real period |
R |
2.5178056848366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790s1 |
Quadratic twists by: -3 |