Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340d |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1561140000000 = 28 · 33 · 57 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 -5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3552,-55004] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:70:1] [-28:-150:1] |
Generators of the group modulo torsion |
j |
717032521728/225859375 |
j-invariant |
L |
10.554876871495 |
L(r)(E,1)/r! |
Ω |
0.63373781537288 |
Real period |
R |
0.19827331278351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74340a1 |
Quadratic twists by: -3 |