Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100d |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-12445312500000000 = -1 · 28 · 33 · 515 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 -1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28575,-5680250] |
[a1,a2,a3,a4,a6] |
Generators |
[4295:281250:1] |
Generators of the group modulo torsion |
j |
-23892339312/115234375 |
j-invariant |
L |
6.7327847663995 |
L(r)(E,1)/r! |
Ω |
0.1660466408036 |
Real period |
R |
1.6894813243027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53100a1 10620a1 |
Quadratic twists by: -3 5 |