Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bx |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
-4025041875000000000 = -1 · 29 · 34 · 513 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1731408,882768312] |
[a1,a2,a3,a4,a6] |
Generators |
[-1443:19350:1] |
Generators of the group modulo torsion |
j |
-71751706663500872/503130234375 |
j-invariant |
L |
7.4406417644122 |
L(r)(E,1)/r! |
Ω |
0.2485998236362 |
Real period |
R |
2.4941831025107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200cm1 20640f1 |
Quadratic twists by: -4 5 |