Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160cz |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-3463586560 = -1 · 28 · 5 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -6 -6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392,-4116] |
[a1,a2,a3,a4,a6] |
Generators |
[74:610:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
3.9416105916501 |
L(r)(E,1)/r! |
Ω |
0.5236583843761 |
Real period |
R |
3.7635323958105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540n1 1840g1 |
Quadratic twists by: -4 -7 |