Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962g |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-54114470790688 = -1 · 25 · 73 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 11- 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8069,-448651] |
[a1,a2,a3,a4,a6] |
Generators |
[59353:594735:343] |
Generators of the group modulo torsion |
j |
-271063881/252448 |
j-invariant |
L |
2.2637995397959 |
L(r)(E,1)/r! |
Ω |
0.24256780286338 |
Real period |
R |
9.3326464315381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962bg1 |
Quadratic twists by: -11 |