Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bh |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-132962385920 = -1 · 216 · 5 · 74 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4720,-124480] |
[a1,a2,a3,a4,a6] |
Generators |
[82:182:1] |
Generators of the group modulo torsion |
j |
-1182740881/13520 |
j-invariant |
L |
5.2712982117131 |
L(r)(E,1)/r! |
Ω |
0.28779328537075 |
Real period |
R |
1.5263554547833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370r1 50960bd1 |
Quadratic twists by: -4 -7 |