Atkin-Lehner |
2- 3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cg |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
7299072 |
Modular degree for the optimal curve |
Δ |
6.9597568283443E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38987678,93701057581] |
[a1,a2,a3,a4,a6] |
Generators |
[-3335:433667:1] |
Generators of the group modulo torsion |
j |
332977218308000894811483/35359227904000000 |
j-invariant |
L |
9.3294038449813 |
L(r)(E,1)/r! |
Ω |
0.15441184452535 |
Real period |
R |
1.3731582987085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090k1 |
Quadratic twists by: -3 |