Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952dn |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-119393554217140224 = -1 · 215 · 37 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116277,6593146] |
[a1,a2,a3,a4,a6] |
Generators |
[245:-7056:1] |
Generators of the group modulo torsion |
j |
10100279/6936 |
j-invariant |
L |
7.4754841071067 |
L(r)(E,1)/r! |
Ω |
0.20918608649155 |
Real period |
R |
0.37225050567137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999537435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bx1 39984cu1 119952gc1 |
Quadratic twists by: -4 -3 -7 |