Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498w |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-23937667435584 = -1 · 26 · 36 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 0 -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18090,970164] |
[a1,a2,a3,a4,a6] |
Generators |
[79:132:1] [-68:1406:1] |
Generators of the group modulo torsion |
j |
-7633736209/279104 |
j-invariant |
L |
7.4352295680725 |
L(r)(E,1)/r! |
Ω |
0.66966662407842 |
Real period |
R |
1.3878602614727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722n1 11214d1 |
Quadratic twists by: -3 -7 |