Atkin-Lehner |
2- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51700l |
Isogeny class |
Conductor |
51700 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
111600 |
Modular degree for the optimal curve |
Δ |
47308731250000 = 24 · 58 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -2 11- 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17333,-819412] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:121:1] |
Generators of the group modulo torsion |
j |
92148858880/7569397 |
j-invariant |
L |
6.8866701628231 |
L(r)(E,1)/r! |
Ω |
0.41825427237008 |
Real period |
R |
1.09768476861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51700f1 |
Quadratic twists by: 5 |