Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642q |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-35760180215808 = -1 · 214 · 313 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 2 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2740,281679] |
[a1,a2,a3,a4,a6] |
Generators |
[77:933:1] |
Generators of the group modulo torsion |
j |
2280305375/35831808 |
j-invariant |
L |
7.8899650868658 |
L(r)(E,1)/r! |
Ω |
0.48439574756901 |
Real period |
R |
0.29086183023099 |
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 |
8214b2 24642d2 |
Quadratic twists by: -3 37 |