Atkin-Lehner |
2- 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17794h |
Isogeny class |
Conductor |
17794 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
569408 = 26 · 7 · 31 · 41 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,976] |
[a1,a2,a3,a4,a6] |
Generators |
[10:6:1] |
Generators of the group modulo torsion |
j |
735091890625/569408 |
j-invariant |
L |
5.3476710291056 |
L(r)(E,1)/r! |
Ω |
2.8873055142137 |
Real period |
R |
1.2347546880139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124558be1 |
Quadratic twists by: -7 |