Atkin-Lehner |
2+ 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bu |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
24588948384000 = 28 · 310 · 53 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-305424,65044480] |
[a1,a2,a3,a4,a6] |
Generators |
[336:-688:1] |
Generators of the group modulo torsion |
j |
4322215988102009089/33729696000 |
j-invariant |
L |
4.7804796158798 |
L(r)(E,1)/r! |
Ω |
0.6034022673856 |
Real period |
R |
0.66021180626534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030z1 |
Quadratic twists by: -3 |