Atkin-Lehner |
2+ 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840r |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-6987517833600000 = -1 · 210 · 33 · 55 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4144,-4019100] |
[a1,a2,a3,a4,a6] |
Generators |
[184:1734:1] |
Generators of the group modulo torsion |
j |
7683837835964/6823747884375 |
j-invariant |
L |
6.7227229712162 |
L(r)(E,1)/r! |
Ω |
0.19582372107062 |
Real period |
R |
2.860873604747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46920c1 |
Quadratic twists by: -4 |