Atkin-Lehner |
2+ 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030d |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
525142440000 = 26 · 39 · 54 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234564,43784720] |
[a1,a2,a3,a4,a6] |
Generators |
[281:-108:1] |
Generators of the group modulo torsion |
j |
72513278012259027/26680000 |
j-invariant |
L |
5.5735750946604 |
L(r)(E,1)/r! |
Ω |
0.75002629809609 |
Real period |
R |
1.8577932228891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030w1 |
Quadratic twists by: -3 |