Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728bm |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-2062319616 = -1 · 215 · 35 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2017,34271] |
[a1,a2,a3,a4,a6] |
Generators |
[23:24:1] [5:156:1] |
Generators of the group modulo torsion |
j |
-27708101576/62937 |
j-invariant |
L |
9.4415053240419 |
L(r)(E,1)/r! |
Ω |
1.4733374383108 |
Real period |
R |
0.32041218388057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728r1 24864q1 |
Quadratic twists by: -4 8 |