Atkin-Lehner |
2+ 3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778c |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
136491264 = 28 · 33 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1218,16660] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:182:1] [-7:161:1] |
Generators of the group modulo torsion |
j |
7404612987771/5055232 |
j-invariant |
L |
6.5359592238397 |
L(r)(E,1)/r! |
Ω |
1.8259790842464 |
Real period |
R |
1.7897136063139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778u1 |
Quadratic twists by: -3 |