Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010ba |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1305318240000 = -1 · 28 · 36 · 54 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2721,5453] |
[a1,a2,a3,a4,a6] |
Generators |
[7:154:1] [17:229:1] |
Generators of the group modulo torsion |
j |
3055568514831/1790560000 |
j-invariant |
L |
6.8703567827284 |
L(r)(E,1)/r! |
Ω |
0.52055518613767 |
Real period |
R |
1.6497666735636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890f1 |
Quadratic twists by: -3 |