Atkin-Lehner |
2+ 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
45320b |
Isogeny class |
Conductor |
45320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-112217730392240 = -1 · 24 · 5 · 112 · 1035 |
Discriminant |
Eigenvalues |
2+ 3 5- -4 11+ 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9638,-356551] |
[a1,a2,a3,a4,a6] |
Generators |
[3828:53045:27] |
Generators of the group modulo torsion |
j |
6188202192881664/7013608149515 |
j-invariant |
L |
10.287138486525 |
L(r)(E,1)/r! |
Ω |
0.31932457668106 |
Real period |
R |
1.6107652272595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90640e1 |
Quadratic twists by: -4 |