Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118776f |
Isogeny class |
Conductor |
118776 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
528000 |
Modular degree for the optimal curve |
Δ |
-1436984598325248 = -1 · 211 · 310 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19192,1516080] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:594:1] |
Generators of the group modulo torsion |
j |
3244468750/5963949 |
j-invariant |
L |
9.4944212306758 |
L(r)(E,1)/r! |
Ω |
0.32942908211567 |
Real period |
R |
2.882083489686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2424a1 |
Quadratic twists by: -7 |