Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710n |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-121726800000 = -1 · 27 · 34 · 55 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,768,14976] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:114:1] |
Generators of the group modulo torsion |
j |
172991854871/421200000 |
j-invariant |
L |
4.694136209249 |
L(r)(E,1)/r! |
Ω |
0.73036393982466 |
Real period |
R |
0.6427119292459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710bf1 |
Quadratic twists by: 17 |