Atkin-Lehner |
2+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640c |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
307270662400 = 28 · 52 · 134 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9247,341214] |
[a1,a2,a3,a4,a6] |
Generators |
[-12595:62496:125] |
Generators of the group modulo torsion |
j |
341575190880336/1200276025 |
j-invariant |
L |
7.3933656458332 |
L(r)(E,1)/r! |
Ω |
0.97312310084611 |
Real period |
R |
7.5975646240542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21320c2 |
Quadratic twists by: -4 |