Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2738b |
Isogeny class |
Conductor |
2738 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-920775413968666624 = -1 · 218 · 378 |
Discriminant |
Eigenvalues |
2+ -2 3 -4 -6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,188893,33674718] |
[a1,a2,a3,a4,a6] |
Generators |
[114:7472:1] |
Generators of the group modulo torsion |
j |
212207543/262144 |
j-invariant |
L |
1.7683455207047 |
L(r)(E,1)/r! |
Ω |
0.18739248829814 |
Real period |
R |
1.5727645015411 |
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 |
21904i2 87616l2 24642t2 68450z2 |
Quadratic twists by: -4 8 -3 5 |