Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74704c |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-409975552 = -1 · 28 · 74 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 3 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-860,9756] |
[a1,a2,a3,a4,a6] |
Generators |
[17:7:1] |
Generators of the group modulo torsion |
j |
-274776192000/1601467 |
j-invariant |
L |
5.6944565577541 |
L(r)(E,1)/r! |
Ω |
1.6911692258702 |
Real period |
R |
0.84179283648956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37352d1 |
Quadratic twists by: -4 |