Atkin-Lehner |
3- 5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
100725o |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-688392421875 = -1 · 38 · 57 · 17 · 79 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 0 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1592,-31031] |
[a1,a2,a3,a4,a6] |
Generators |
[154:671:8] |
Generators of the group modulo torsion |
j |
28540399616/44057115 |
j-invariant |
L |
19.244884830928 |
L(r)(E,1)/r! |
Ω |
0.478781672841 |
Real period |
R |
1.2561104261302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20145d1 |
Quadratic twists by: 5 |