Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686w |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-1004950228464 = -1 · 24 · 35 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2376,19440] |
[a1,a2,a3,a4,a6] |
Generators |
[28:316:1] |
Generators of the group modulo torsion |
j |
5735339/3888 |
j-invariant |
L |
3.9124827862976 |
L(r)(E,1)/r! |
Ω |
0.55272775408711 |
Real period |
R |
3.5392494381761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014c1 49686cq1 |
Quadratic twists by: -7 13 |