Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bs |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
23872487184 = 24 · 39 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-722,999] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:9:1] |
Generators of the group modulo torsion |
j |
2605053814528/1492030449 |
j-invariant |
L |
3.760041145691 |
L(r)(E,1)/r! |
Ω |
1.0258684712521 |
Real period |
R |
3.6652273179762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564q1 |
Quadratic twists by: -4 |