Atkin-Lehner |
2+ 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90846b |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
1050667357372416 = 216 · 33 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 0 -7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149655,22266397] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:6425:1] [206:281:1] |
Generators of the group modulo torsion |
j |
2381502018987/6750208 |
j-invariant |
L |
7.478449371268 |
L(r)(E,1)/r! |
Ω |
0.49347430702885 |
Real period |
R |
1.2628907025333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846ce1 90846h1 |
Quadratic twists by: -3 -7 |