Atkin-Lehner |
2+ 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254a |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-1467459702567936 = -1 · 210 · 36 · 78 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9383,1813477] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:823:1] [-14:1303:1] |
Generators of the group modulo torsion |
j |
15844999079/254555136 |
j-invariant |
L |
7.4514655282354 |
L(r)(E,1)/r! |
Ω |
0.35562309513552 |
Real period |
R |
1.7461055516179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254u1 |
Quadratic twists by: -7 |