Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300m |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
45281250000 = 24 · 32 · 59 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60333,5724162] |
[a1,a2,a3,a4,a6] |
Generators |
[9284:3857:64] |
Generators of the group modulo torsion |
j |
777223012352/1449 |
j-invariant |
L |
5.71342079806 |
L(r)(E,1)/r! |
Ω |
0.97450551634243 |
Real period |
R |
5.8628922076564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48300y1 |
Quadratic twists by: 5 |