Atkin-Lehner |
2- 7+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
128674n |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-36375725212372 = -1 · 22 · 74 · 135 · 1012 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 1 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83497,-9325877] |
[a1,a2,a3,a4,a6] |
Generators |
[391:4046:1] |
Generators of the group modulo torsion |
j |
-26812943471228593/15150239572 |
j-invariant |
L |
19.996960573259 |
L(r)(E,1)/r! |
Ω |
0.14042262773653 |
Real period |
R |
2.3734257003958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128674t1 |
Quadratic twists by: -7 |