Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270m |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
244632960 |
Modular degree for the optimal curve |
Δ |
-6.6590897372386E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -5 -2 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24350209819,-1462523251600858] |
[a1,a2,a3,a4,a6] |
j |
-72040483310118508805967361/300441312000000 |
j-invariant |
L |
2.1270933081985 |
L(r)(E,1)/r! |
Ω |
0.0060428787739897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1590r1 |
Quadratic twists by: 53 |