Atkin-Lehner |
2+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096d |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2965248 |
Modular degree for the optimal curve |
Δ |
1096108697294583808 = 211 · 119 · 613 |
Discriminant |
Eigenvalues |
2+ -1 4 -2 11+ 5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1783096,915662288] |
[a1,a2,a3,a4,a6] |
j |
129832677718/226981 |
j-invariant |
L |
3.3078958801617 |
L(r)(E,1)/r! |
Ω |
0.27565800456185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59048b1 118096b1 |
Quadratic twists by: -4 -11 |