Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50025r |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
1406953125 = 33 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 0 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1283,-18031] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:71:8] |
Generators of the group modulo torsion |
j |
14959673344/90045 |
j-invariant |
L |
7.4300860033517 |
L(r)(E,1)/r! |
Ω |
0.79794348447072 |
Real period |
R |
1.5519240288742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10005a1 |
Quadratic twists by: 5 |