Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576bm |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
450560 |
Modular degree for the optimal curve |
Δ |
-3520019083677696 = -1 · 212 · 36 · 17 · 375 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -5 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24579,3216834] |
[a1,a2,a3,a4,a6] |
Generators |
[855:-24642:1] [-33:1998:1] |
Generators of the group modulo torsion |
j |
-549957165057/1178847269 |
j-invariant |
L |
8.9504788155239 |
L(r)(E,1)/r! |
Ω |
0.39509759876806 |
Real period |
R |
0.56634606506188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5661h1 10064h1 |
Quadratic twists by: -4 -3 |