Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gy |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-46324293750000 = -1 · 24 · 32 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2042,-326213] |
[a1,a2,a3,a4,a6] |
Generators |
[61:147:1] [117:1225:1] |
Generators of the group modulo torsion |
j |
1280/63 |
j-invariant |
L |
8.4326401618513 |
L(r)(E,1)/r! |
Ω |
0.30547242586543 |
Real period |
R |
1.150218405961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700br1 58800ie1 8400cl1 |
Quadratic twists by: -4 5 -7 |