Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610v |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-139838187500000 = -1 · 25 · 59 · 113 · 412 |
Discriminant |
Eigenvalues |
2- -3 5- -5 11+ -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95052,11317551] |
[a1,a2,a3,a4,a6] |
Generators |
[201:-651:1] [-239:4629:1] |
Generators of the group modulo torsion |
j |
-71355121702036011/105062500000 |
j-invariant |
L |
8.2324913607917 |
L(r)(E,1)/r! |
Ω |
0.58110995207022 |
Real period |
R |
0.078704663295748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49610f1 |
Quadratic twists by: -11 |