Atkin-Lehner |
2+ 3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
92112d |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
240640 |
Modular degree for the optimal curve |
Δ |
-2929873441536 = -1 · 28 · 310 · 19 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 -1 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38305,2899549] |
[a1,a2,a3,a4,a6] |
Generators |
[100:243:1] |
Generators of the group modulo torsion |
j |
-24280715739636736/11444818131 |
j-invariant |
L |
4.1126610793733 |
L(r)(E,1)/r! |
Ω |
0.79121174114798 |
Real period |
R |
1.2994818107691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46056c1 |
Quadratic twists by: -4 |