Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800bl |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-10458758880000 = -1 · 28 · 313 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 3 -4 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4575,-195950] |
[a1,a2,a3,a4,a6] |
Generators |
[86:216:1] [119:972:1] |
Generators of the group modulo torsion |
j |
-90792400/89667 |
j-invariant |
L |
9.733403416293 |
L(r)(E,1)/r! |
Ω |
0.27909114160956 |
Real period |
R |
4.3594197223249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bi1 73800cn1 |
Quadratic twists by: -3 5 |