Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900h |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-11463379200 = -1 · 28 · 39 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-7810] |
[a1,a2,a3,a4,a6] |
Generators |
[31:54:1] |
Generators of the group modulo torsion |
j |
-5513680/2457 |
j-invariant |
L |
5.5656102972193 |
L(r)(E,1)/r! |
Ω |
0.46922297485384 |
Real period |
R |
0.98844447709158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27300b1 81900bm1 |
Quadratic twists by: -3 5 |