Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300n |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
8960017500000000 = 28 · 35 · 510 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-322708,-70306088] |
[a1,a2,a3,a4,a6] |
Generators |
[-8709:9422:27] |
Generators of the group modulo torsion |
j |
1486668859600/3584007 |
j-invariant |
L |
3.570922250838 |
L(r)(E,1)/r! |
Ω |
0.20033642731209 |
Real period |
R |
5.9415425858503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300bv1 |
Quadratic twists by: 5 |