Atkin-Lehner |
5- 43+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72025c |
Isogeny class |
Conductor |
72025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22880 |
Modular degree for the optimal curve |
Δ |
5626953125 = 59 · 43 · 67 |
Discriminant |
Eigenvalues |
0 0 5- 2 -2 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-500,-2344] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:39:1] [50:312:1] |
Generators of the group modulo torsion |
j |
7077888/2881 |
j-invariant |
L |
9.1363594258627 |
L(r)(E,1)/r! |
Ω |
1.0461629083556 |
Real period |
R |
4.3666045474163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72025d1 |
Quadratic twists by: 5 |