Atkin-Lehner |
2+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306l |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2595840 |
Modular degree for the optimal curve |
Δ |
78701980082176 = 213 · 117 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3 -1 4 11- 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1013095,392738429] |
[a1,a2,a3,a4,a6] |
Generators |
[420561:-74942:729] |
Generators of the group modulo torsion |
j |
64911008725758369/44425216 |
j-invariant |
L |
11.027134763309 |
L(r)(E,1)/r! |
Ω |
0.50540617319925 |
Real period |
R |
5.4545904736676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846d1 |
Quadratic twists by: -11 |