Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240u |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
243712 |
Modular degree for the optimal curve |
Δ |
2734582809600 = 210 · 313 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439707,-112225894] |
[a1,a2,a3,a4,a6] |
Generators |
[-645377341:4656420:1685159] |
Generators of the group modulo torsion |
j |
12594657614152036/3663225 |
j-invariant |
L |
7.6851502412931 |
L(r)(E,1)/r! |
Ω |
0.18539956779549 |
Real period |
R |
10.362955982939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120l1 16080a1 |
Quadratic twists by: -4 -3 |