Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23600ba |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-48332800000000 = -1 · 221 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -1 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741875,-245948750] |
[a1,a2,a3,a4,a6] |
Generators |
[1565743920632217417:15438877489775337034:1506912671118023] |
Generators of the group modulo torsion |
j |
-28222529675625/30208 |
j-invariant |
L |
4.8709700157876 |
L(r)(E,1)/r! |
Ω |
0.081336755971542 |
Real period |
R |
29.943227742522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2950j1 94400dj1 23600i1 |
Quadratic twists by: -4 8 5 |