Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310h |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2892124895744000 = -1 · 212 · 53 · 77 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2033,-2586331] |
[a1,a2,a3,a4,a6] |
Generators |
[398:7641:1] |
Generators of the group modulo torsion |
j |
7892485271/24582656000 |
j-invariant |
L |
2.7568786881715 |
L(r)(E,1)/r! |
Ω |
0.20957006048639 |
Real period |
R |
1.0962438534768 |
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 |
74480cr2 83790dp2 46550by2 1330d2 |
Quadratic twists by: -4 -3 5 -7 |