Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334x |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-11427197878537056 = -1 · 25 · 39 · 72 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-321039,70282957] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:11546:1] |
Generators of the group modulo torsion |
j |
-5019614054242745329/15675168557664 |
j-invariant |
L |
4.3202569381189 |
L(r)(E,1)/r! |
Ω |
0.40465745336895 |
Real period |
R |
0.19064876893102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778n1 |
Quadratic twists by: -3 |