Atkin-Lehner |
2+ 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650be |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-10454973750000000 = -1 · 27 · 34 · 510 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6549,4915798] |
[a1,a2,a3,a4,a6] |
Generators |
[76:2381:1] |
Generators of the group modulo torsion |
j |
3181588175/1070589312 |
j-invariant |
L |
7.1208689124663 |
L(r)(E,1)/r! |
Ω |
0.31507420315134 |
Real period |
R |
5.6501522751079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650cu1 |
Quadratic twists by: 5 |