Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360g |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-8985600 = -1 · 210 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,154] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
-78732/325 |
j-invariant |
L |
4.7540622787503 |
L(r)(E,1)/r! |
Ω |
2.0160173410607 |
Real period |
R |
0.58953638219314 |
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 |
4680c1 37440cw1 9360c1 46800a1 |
Quadratic twists by: -4 8 -3 5 |