Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992bu |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-949097253888 = -1 · 210 · 39 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2280,-62872] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1197:1] |
Generators of the group modulo torsion |
j |
-1755904000/1271403 |
j-invariant |
L |
7.8920104419945 |
L(r)(E,1)/r! |
Ω |
0.33482142385726 |
Real period |
R |
2.946350600059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fo1 15624v1 41664h1 |
Quadratic twists by: -4 8 -3 |