Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gc |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1014828466176 = -1 · 215 · 37 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2373,-19222] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-272:1] |
Generators of the group modulo torsion |
j |
10100279/6936 |
j-invariant |
L |
6.7750794616937 |
L(r)(E,1)/r! |
Ω |
0.49652646305218 |
Real period |
R |
0.85280946206155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994cv1 39984bn1 119952dn1 |
Quadratic twists by: -4 -3 -7 |