Atkin-Lehner |
2- 3+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bf |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6046759688256 = 26 · 34 · 74 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-819672,-285974439] |
[a1,a2,a3,a4,a6] |
Generators |
[1927:71801:1] |
Generators of the group modulo torsion |
j |
60903751497088968542593/6046759688256 |
j-invariant |
L |
7.9621207844044 |
L(r)(E,1)/r! |
Ω |
0.15866806650304 |
Real period |
R |
4.181749232788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87822p2 |
Quadratic twists by: -3 |