Atkin-Lehner |
2+ 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382d |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
267774654884669856 = 25 · 312 · 76 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-224396,32373552] |
[a1,a2,a3,a4,a6] |
Generators |
[-2666:68401:8] |
Generators of the group modulo torsion |
j |
10621450496611513/2276047011744 |
j-invariant |
L |
4.4496371418184 |
L(r)(E,1)/r! |
Ω |
0.2927856994964 |
Real period |
R |
2.5329317366466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518h1 |
Quadratic twists by: -7 |