Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256cq |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-6636896728806629376 = -1 · 213 · 312 · 74 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,172536,120897396] |
[a1,a2,a3,a4,a6] |
Generators |
[996:-35802:1] [-330:5304:1] |
Generators of the group modulo torsion |
j |
138675717957047543/1620336115431306 |
j-invariant |
L |
11.110730480425 |
L(r)(E,1)/r! |
Ω |
0.17499599919883 |
Real period |
R |
0.44091208320266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282e2 |
Quadratic twists by: -4 |