Atkin-Lehner |
2+ 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622a |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-3565357673548608 = -1 · 26 · 33 · 78 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32478,1774548] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1182:1] [12366:483291:8] |
Generators of the group modulo torsion |
j |
24340861125/22906304 |
j-invariant |
L |
7.2044678555272 |
L(r)(E,1)/r! |
Ω |
0.29105187834644 |
Real period |
R |
6.1883021477632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62622bi2 62622f1 |
Quadratic twists by: -3 -7 |