Atkin-Lehner |
2+ 3+ 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34410b |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
187392 |
Modular degree for the optimal curve |
Δ |
-18079934467500 = -1 · 22 · 38 · 54 · 313 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 4 -7 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6562,3792] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1952:1] |
Generators of the group modulo torsion |
j |
31241291193827351/18079934467500 |
j-invariant |
L |
3.690009433248 |
L(r)(E,1)/r! |
Ω |
0.41228937019921 |
Real period |
R |
1.1187559333223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103230bc1 |
Quadratic twists by: -3 |