Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bo |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-5053440000000 = -1 · 216 · 3 · 57 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,437,108281] |
[a1,a2,a3,a4,a6] |
Generators |
[19:342:1] |
Generators of the group modulo torsion |
j |
590589719/323420160 |
j-invariant |
L |
8.4533461909109 |
L(r)(E,1)/r! |
Ω |
0.59740066503464 |
Real period |
R |
1.7687765275622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870k1 |
Quadratic twists by: 5 |