Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240r |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5906612775294000 = -1 · 24 · 320 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15609,3615480] |
[a1,a2,a3,a4,a6] |
Generators |
[241:4617:1] |
Generators of the group modulo torsion |
j |
26284586405881856/369163298455875 |
j-invariant |
L |
3.528680714046 |
L(r)(E,1)/r! |
Ω |
0.31566589765489 |
Real period |
R |
5.5892650112998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480s1 73920dr1 27720w1 46200bb1 |
Quadratic twists by: -4 8 -3 5 |