Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310n |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-40347724550 = -1 · 2 · 52 · 76 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136221,19294729] |
[a1,a2,a3,a4,a6] |
Generators |
[1702:-835:8] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
5.0411793038882 |
L(r)(E,1)/r! |
Ω |
0.89618476166129 |
Real period |
R |
2.8125781197971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480bo2 83790br2 46550h2 190c2 |
Quadratic twists by: -4 -3 5 -7 |