Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650bx |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
22365878301491200 = 222 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72423,-2128183] |
[a1,a2,a3,a4,a6] |
Generators |
[886:24645:1] |
Generators of the group modulo torsion |
j |
291493778905/155189248 |
j-invariant |
L |
11.208283887893 |
L(r)(E,1)/r! |
Ω |
0.30923779423998 |
Real period |
R |
0.54916470789348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650q1 90650cn1 |
Quadratic twists by: 5 -7 |