Atkin-Lehner |
2+ 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010bd |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-971156770560 = -1 · 28 · 37 · 5 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1791,-37827] |
[a1,a2,a3,a4,a6] |
Generators |
[34:231:1] |
Generators of the group modulo torsion |
j |
871257511151/1332176640 |
j-invariant |
L |
3.9911763271757 |
L(r)(E,1)/r! |
Ω |
0.4654968045018 |
Real period |
R |
1.071751805971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670w1 |
Quadratic twists by: -3 |