Atkin-Lehner |
2- 3+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270r |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-887390208000000 = -1 · 221 · 33 · 56 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14203,-1280131] |
[a1,a2,a3,a4,a6] |
Generators |
[87:736:1] |
Generators of the group modulo torsion |
j |
11736237117323277/32866304000000 |
j-invariant |
L |
11.016403239724 |
L(r)(E,1)/r! |
Ω |
0.25622919677249 |
Real period |
R |
1.5355118681569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005968 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90270b2 |
Quadratic twists by: -3 |