Atkin-Lehner |
2+ 3+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
79632b |
Isogeny class |
Conductor |
79632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-3822336 = -1 · 28 · 33 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 0 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,44] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
746496/553 |
j-invariant |
L |
4.4951567572264 |
L(r)(E,1)/r! |
Ω |
1.5845913410897 |
Real period |
R |
1.4183962272411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39816a1 79632a1 |
Quadratic twists by: -4 -3 |