Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720m |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2554018611200 = -1 · 214 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785,77617] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-280:1] [-27:280:1] |
Generators of the group modulo torsion |
j |
-3269383504/155884925 |
j-invariant |
L |
10.717620963701 |
L(r)(E,1)/r! |
Ω |
0.67367256823587 |
Real period |
R |
0.3314425738972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720y1 7420a1 |
Quadratic twists by: -4 8 |