Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842k |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-4214145767552 = -1 · 27 · 76 · 234 |
Discriminant |
Eigenvalues |
2+ -3 2 7- -4 -4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30781,-2073275] |
[a1,a2,a3,a4,a6] |
Generators |
[653:15672:1] |
Generators of the group modulo torsion |
j |
-97967097/128 |
j-invariant |
L |
1.6865531119054 |
L(r)(E,1)/r! |
Ω |
0.18020390531048 |
Real period |
R |
4.6795687056108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1058e1 51842l1 |
Quadratic twists by: -7 -23 |