Atkin-Lehner |
2+ 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bf |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5734400 |
Modular degree for the optimal curve |
Δ |
-1.6966121856E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70901326,229783394048] |
[a1,a2,a3,a4,a6] |
Generators |
[9402:623236:1] |
Generators of the group modulo torsion |
j |
-20181653090556269613029/8686654390272 |
j-invariant |
L |
6.0261229717306 |
L(r)(E,1)/r! |
Ω |
0.17857915614671 |
Real period |
R |
4.2181035440881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bt1 |
Quadratic twists by: 5 |