Atkin-Lehner |
2- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650y |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
74 |
Product of Tamagawa factors cp |
deg |
32678400 |
Modular degree for the optimal curve |
Δ |
-2.4719380439967E+28 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ -3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,173544695,7513041906697] |
[a1,a2,a3,a4,a6] |
Generators |
[378813:96066580:27] |
Generators of the group modulo torsion |
j |
295956377478221567517747/12656322785263342321664 |
j-invariant |
L |
8.6509051123675 |
L(r)(E,1)/r! |
Ω |
0.028639409969381 |
Real period |
R |
4.081931969437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45650l1 |
Quadratic twists by: 5 |