Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022i |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-389990414168 = -1 · 23 · 19 · 376 |
Discriminant |
Eigenvalues |
2- 1 0 -1 -6 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21248,1190744] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:1386:1] [838:2319:8] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
14.737733916453 |
L(r)(E,1)/r! |
Ω |
0.93245407190815 |
Real period |
R |
1.3171099038957 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38a3 |
Quadratic twists by: 37 |