Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960u |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-25584000000 = -1 · 210 · 3 · 56 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,200,-7552] |
[a1,a2,a3,a4,a6] |
Generators |
[2352:22240:27] |
Generators of the group modulo torsion |
j |
859687196/24984375 |
j-invariant |
L |
7.6362452859373 |
L(r)(E,1)/r! |
Ω |
0.57547401351735 |
Real period |
R |
4.4231625329135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920k1 |
Quadratic twists by: -4 |