Atkin-Lehner |
2+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72358c |
Isogeny class |
Conductor |
72358 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-127554907219790336 = -1 · 29 · 118 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ -3 -3 3 11- 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-305971,-67294859] |
[a1,a2,a3,a4,a6] |
Generators |
[1145:32329:1] |
Generators of the group modulo torsion |
j |
-1788171617409633/72001419776 |
j-invariant |
L |
2.3178830594438 |
L(r)(E,1)/r! |
Ω |
0.1012572121881 |
Real period |
R |
5.7227604098808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6578d1 |
Quadratic twists by: -11 |