Atkin-Lehner |
5+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71225a |
Isogeny class |
Conductor |
71225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-75030132190234375 = -1 · 58 · 7 · 114 · 374 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62942,14528591] |
[a1,a2,a3,a4,a6] |
Generators |
[-854370:26890127:5832] |
Generators of the group modulo torsion |
j |
-1764936900320049/4801928460175 |
j-invariant |
L |
5.7514945084292 |
L(r)(E,1)/r! |
Ω |
0.30398246874944 |
Real period |
R |
9.4602404730451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245b4 |
Quadratic twists by: 5 |