Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710h |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
1989524459520 = 212 · 32 · 5 · 133 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4978,114868] |
[a1,a2,a3,a4,a6] |
Generators |
[1:331:1] [-69:403:1] |
Generators of the group modulo torsion |
j |
2777652643193/404951040 |
j-invariant |
L |
6.291597861277 |
L(r)(E,1)/r! |
Ω |
0.79584215886742 |
Real period |
R |
1.3175975064576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710bq1 |
Quadratic twists by: 17 |