Atkin-Lehner |
7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
119357b |
Isogeny class |
Conductor |
119357 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
119357 = 7 · 172 · 59 |
Discriminant |
Eigenvalues |
2 0 -4 7+ 2 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17,21] |
[a1,a2,a3,a4,a6] |
Generators |
[2:29:8] |
Generators of the group modulo torsion |
j |
1880064/413 |
j-invariant |
L |
8.7690324948328 |
L(r)(E,1)/r! |
Ω |
3.1281290546681 |
Real period |
R |
2.8032834860255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119357f1 |
Quadratic twists by: 17 |