Atkin-Lehner |
2+ 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254u |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-12473201664 = -1 · 210 · 36 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 5 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,191,-5260] |
[a1,a2,a3,a4,a6] |
Generators |
[43:266:1] |
Generators of the group modulo torsion |
j |
15844999079/254555136 |
j-invariant |
L |
6.0075030588387 |
L(r)(E,1)/r! |
Ω |
0.6178302435565 |
Real period |
R |
0.81029580624742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254a1 |
Quadratic twists by: -7 |