Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270f |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167344320 |
Modular degree for the optimal curve |
Δ |
-1.2258759850002E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -3 -4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,269675178,16759053283284] |
[a1,a2,a3,a4,a6] |
Generators |
[48493075:101426719658:24389] |
Generators of the group modulo torsion |
j |
657300262000123/37150418534400 |
j-invariant |
L |
1.147533804568 |
L(r)(E,1)/r! |
Ω |
0.025169290786369 |
Real period |
R |
11.398153955933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270bm1 |
Quadratic twists by: 53 |