Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9150x |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1439170560000000 = -1 · 225 · 32 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34813,-3098383] |
[a1,a2,a3,a4,a6] |
Generators |
[482:9359:1] |
Generators of the group modulo torsion |
j |
-298626824461321/92106915840 |
j-invariant |
L |
7.888827730411 |
L(r)(E,1)/r! |
Ω |
0.17203713941703 |
Real period |
R |
0.45855376095786 |
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 |
73200bj1 27450n1 1830b1 |
Quadratic twists by: -4 -3 5 |