Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
9270d |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-54316406250 = -1 · 2 · 33 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 1 -4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1974,-35082] |
[a1,a2,a3,a4,a6] |
Generators |
[57:159:1] |
Generators of the group modulo torsion |
j |
-31515568179003/2011718750 |
j-invariant |
L |
3.4688509087303 |
L(r)(E,1)/r! |
Ω |
0.3567980985558 |
Real period |
R |
0.48610837932868 |
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 |
74160z1 9270p1 46350bj1 |
Quadratic twists by: -4 -3 5 |