Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cm |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
6240 |
Product of Tamagawa factors cp |
deg |
7587840 |
Modular degree for the optimal curve |
Δ |
6.7119169281196E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6721607,-5425391169] |
[a1,a2,a3,a4,a6] |
Generators |
[-1029:20534:1] |
Generators of the group modulo torsion |
j |
1243882153396114160508243/248589515856281600000 |
j-invariant |
L |
12.706463779652 |
L(r)(E,1)/r! |
Ω |
0.095073785541334 |
Real period |
R |
0.08567208134442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090g1 |
Quadratic twists by: -3 |