Atkin-Lehner |
2- 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67860u |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-1892559305186784000 = -1 · 28 · 315 · 53 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56328,-65988236] |
[a1,a2,a3,a4,a6] |
Generators |
[413:5265:1] |
Generators of the group modulo torsion |
j |
105908108681216/10141028512875 |
j-invariant |
L |
4.6760055317115 |
L(r)(E,1)/r! |
Ω |
0.12502586680241 |
Real period |
R |
3.1166920700325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22620e1 |
Quadratic twists by: -3 |