Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bk |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-264178368 = -1 · 26 · 33 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 0 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-947,11475] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:150:1] [11:42:1] |
Generators of the group modulo torsion |
j |
-12024915507/33856 |
j-invariant |
L |
13.122840207293 |
L(r)(E,1)/r! |
Ω |
1.7506907627019 |
Real period |
R |
0.31232529480158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646g1 119646bq1 |
Quadratic twists by: -3 17 |