Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686r |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
801335808 = 29 · 33 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -1 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-263,-1035] |
[a1,a2,a3,a4,a6] |
j |
34913047/13824 |
j-invariant |
L |
2.4519282657118 |
L(r)(E,1)/r! |
Ω |
1.2259641329034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686bq1 49686cm1 |
Quadratic twists by: -7 13 |