Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
9270f |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-1557004032000 = -1 · 211 · 310 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 -3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,315,-60075] |
[a1,a2,a3,a4,a6] |
Generators |
[87:744:1] |
Generators of the group modulo torsion |
j |
4733169839/2135808000 |
j-invariant |
L |
2.8792804961677 |
L(r)(E,1)/r! |
Ω |
0.3962939245887 |
Real period |
R |
3.632758815513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160bf1 3090m1 46350bu1 |
Quadratic twists by: -4 -3 5 |