Atkin-Lehner |
2+ 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69678i |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4222515063047332464 = 24 · 36 · 76 · 795 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10310589,-12740087403] |
[a1,a2,a3,a4,a6] |
Generators |
[-27501500097680437010:15356569663014258183:14902372912664125] |
Generators of the group modulo torsion |
j |
1413378216646643521/49232902384 |
j-invariant |
L |
5.0297957436853 |
L(r)(E,1)/r! |
Ω |
0.084251878261865 |
Real period |
R |
29.849754376111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742l2 1422b2 |
Quadratic twists by: -3 -7 |