Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95304k |
Isogeny class |
Conductor |
95304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-12198912 = -1 · 210 · 3 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11+ 4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[30:164:1] |
Generators of the group modulo torsion |
j |
9500/33 |
j-invariant |
L |
5.6585788795111 |
L(r)(E,1)/r! |
Ω |
1.1485532032068 |
Real period |
R |
2.4633507796155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95304g1 |
Quadratic twists by: -19 |