Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1976503200000000 = -1 · 211 · 3 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,2178912] |
[a1,a2,a3,a4,a6] |
Generators |
[292:4900:1] |
Generators of the group modulo torsion |
j |
-1250/21 |
j-invariant |
L |
5.8255023107701 |
L(r)(E,1)/r! |
Ω |
0.39371178349848 |
Real period |
R |
0.61651510858289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400eq1 58800db1 8400ba1 |
Quadratic twists by: -4 5 -7 |