Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550cr |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2576448000 = 29 · 34 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-343,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[35:162:1] [-15:52:1] |
Generators of the group modulo torsion |
j |
35708794757/20611584 |
j-invariant |
L |
12.714154558533 |
L(r)(E,1)/r! |
Ω |
1.2269299617183 |
Real period |
R |
0.2878493239044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550br1 |
Quadratic twists by: 5 |