Atkin-Lehner |
2+ 3- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101616d |
Isogeny class |
Conductor |
101616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
168192 |
Modular degree for the optimal curve |
Δ |
-355773163248 = -1 · 24 · 33 · 29 · 734 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 3 5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,460,28599] |
[a1,a2,a3,a4,a6] |
Generators |
[21:219:1] |
Generators of the group modulo torsion |
j |
671324912384/22235822703 |
j-invariant |
L |
6.9061544378997 |
L(r)(E,1)/r! |
Ω |
0.72207790505641 |
Real period |
R |
0.79702323788978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50808d1 |
Quadratic twists by: -4 |