Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120f |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
23813280720 = 24 · 310 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1002,9691] |
[a1,a2,a3,a4,a6] |
Generators |
[12845:53892:343] |
Generators of the group modulo torsion |
j |
9538484224/2041605 |
j-invariant |
L |
7.4175276995316 |
L(r)(E,1)/r! |
Ω |
1.1327984534596 |
Real period |
R |
6.5479677138023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25560m1 17040g1 |
Quadratic twists by: -4 -3 |