Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240p |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2008608000 = 28 · 3 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -5 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-761,-7539] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:14:1] |
Generators of the group modulo torsion |
j |
190637476864/7846125 |
j-invariant |
L |
4.136688054209 |
L(r)(E,1)/r! |
Ω |
0.9111867485695 |
Real period |
R |
0.75664841496165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480j1 |
Quadratic twists by: -4 |