Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600c |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
1.76846076825E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20752508,36394005012] |
[a1,a2,a3,a4,a6] |
Generators |
[351772078:3841281800:117649] |
Generators of the group modulo torsion |
j |
104795188976/1875 |
j-invariant |
L |
5.0205112546828 |
L(r)(E,1)/r! |
Ω |
0.20082625419092 |
Real period |
R |
12.499638741601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520bp1 72600ch1 |
Quadratic twists by: 5 -11 |