Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872p |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-4866804034224 = -1 · 24 · 3 · 119 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11- -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2501,-93766] |
[a1,a2,a3,a4,a6] |
Generators |
[93315:5487229:27] |
Generators of the group modulo torsion |
j |
61011968/171699 |
j-invariant |
L |
12.031594298946 |
L(r)(E,1)/r! |
Ω |
0.39531919354644 |
Real period |
R |
7.6087845328492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11352m1 |
Quadratic twists by: -11 |