Atkin-Lehner |
3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
73101f |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3624960 |
Modular degree for the optimal curve |
Δ |
6.2399558881772E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30751227,-65637412511] |
[a1,a2,a3,a4,a6] |
Generators |
[85994800516571596321584462781922977217647:-18686782745082464783809936270600750587650815:1803717346653320966803630212032442439] |
Generators of the group modulo torsion |
j |
371229888203/7203 |
j-invariant |
L |
8.3387017790679 |
L(r)(E,1)/r! |
Ω |
0.064111280280152 |
Real period |
R |
65.033031176161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73101g1 |
Quadratic twists by: -59 |