Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024bg |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1212288 |
Modular degree for the optimal curve |
Δ |
29763356784961536 = 211 · 37 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11- -5 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90064,-6301792] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:1494:1] |
Generators of the group modulo torsion |
j |
184039394/67797 |
j-invariant |
L |
8.1006020473023 |
L(r)(E,1)/r! |
Ω |
0.28412524660185 |
Real period |
R |
4.0729533198766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90024o1 |
Quadratic twists by: -11 |