Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bd |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6389760 |
Modular degree for the optimal curve |
Δ |
-5.3794594231419E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7570499,34365818648] |
[a1,a2,a3,a4,a6] |
Generators |
[10243906351:-2185798912234:226981] |
Generators of the group modulo torsion |
j |
3070982119719227273279/34428540308108083200 |
j-invariant |
L |
6.1238402860295 |
L(r)(E,1)/r! |
Ω |
0.068155290358862 |
Real period |
R |
11.231410382399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870p1 |
Quadratic twists by: 5 |