Atkin-Lehner |
2- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74704r |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
66814391349149696 = 222 · 77 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6318779,6113599210] |
[a1,a2,a3,a4,a6] |
Generators |
[1482:2030:1] [1503:3430:1] |
Generators of the group modulo torsion |
j |
6811821555839776164753/16312107262976 |
j-invariant |
L |
11.592230892621 |
L(r)(E,1)/r! |
Ω |
0.3008308138612 |
Real period |
R |
2.752432444358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338g1 |
Quadratic twists by: -4 |