Atkin-Lehner |
2+ 3+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090k |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
954699153408000000 = 222 · 33 · 56 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4331964,-3468965552] |
[a1,a2,a3,a4,a6] |
j |
332977218308000894811483/35359227904000000 |
j-invariant |
L |
1.2557763716436 |
L(r)(E,1)/r! |
Ω |
0.10464804214273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090cg1 |
Quadratic twists by: -3 |