Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200bj |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-139054284800 = -1 · 219 · 52 · 1032 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 3 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9355,348730] |
[a1,a2,a3,a4,a6] |
Generators |
[71:206:1] |
Generators of the group modulo torsion |
j |
-884209406985/1357952 |
j-invariant |
L |
3.3355042174209 |
L(r)(E,1)/r! |
Ω |
1.0342413769853 |
Real period |
R |
0.80626831696251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150m1 41200bq1 |
Quadratic twists by: -4 5 |