Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104664b |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-80381952 = -1 · 211 · 32 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -3 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,-468] |
[a1,a2,a3,a4,a6] |
Generators |
[93:888:1] |
Generators of the group modulo torsion |
j |
-417074/801 |
j-invariant |
L |
6.2229880277281 |
L(r)(E,1)/r! |
Ω |
0.7702758011559 |
Real period |
R |
4.0394544438942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104664c1 |
Quadratic twists by: -7 |