Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950df |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
-4.9942401764033E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19139374,-10833517852] |
[a1,a2,a3,a4,a6] |
j |
421792317902132351/271682182840320 |
j-invariant |
L |
2.1301619042135 |
L(r)(E,1)/r! |
Ω |
0.053254053632562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bq1 17850a1 |
Quadratic twists by: 5 -7 |