Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700c |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-17643841200 = -1 · 24 · 312 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,5465] |
[a1,a2,a3,a4,a6] |
Generators |
[34:243:1] |
Generators of the group modulo torsion |
j |
28098560/60507 |
j-invariant |
L |
7.3418341857232 |
L(r)(E,1)/r! |
Ω |
0.8525926648514 |
Real period |
R |
0.71759884955711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900b1 74700w1 |
Quadratic twists by: -3 5 |