Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800ca |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-5380020000000000 = -1 · 211 · 38 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43125,-756250] |
[a1,a2,a3,a4,a6] |
Generators |
[293626:7413858:6859] |
Generators of the group modulo torsion |
j |
608350/369 |
j-invariant |
L |
5.0840559326622 |
L(r)(E,1)/r! |
Ω |
0.24915853306319 |
Real period |
R |
10.202451970428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600f1 73800bc1 |
Quadratic twists by: -3 5 |