Atkin-Lehner |
2- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74704j |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
-150871003136 = -1 · 212 · 74 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ -3 -7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7232,-239884] |
[a1,a2,a3,a4,a6] |
Generators |
[188:-2254:1] |
Generators of the group modulo torsion |
j |
-10214075575873/36833741 |
j-invariant |
L |
2.6153021348452 |
L(r)(E,1)/r! |
Ω |
0.25879518731308 |
Real period |
R |
1.2632103794595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4669b1 |
Quadratic twists by: -4 |