Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680d |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15830849440000 = 28 · 54 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12103,475398] |
[a1,a2,a3,a4,a6] |
Generators |
[338:5916:1] |
Generators of the group modulo torsion |
j |
6509904336/525625 |
j-invariant |
L |
5.6937232288504 |
L(r)(E,1)/r! |
Ω |
0.68160246360049 |
Real period |
R |
4.1767184775161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036477 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56840b2 2320d2 |
Quadratic twists by: -4 -7 |