Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560o |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3005184 |
Modular degree for the optimal curve |
Δ |
6868219941406250000 = 24 · 513 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -2 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2378476,1407026601] |
[a1,a2,a3,a4,a6] |
Generators |
[3457521732:470851364395:185193] |
Generators of the group modulo torsion |
j |
16133028928355584/74462890625 |
j-invariant |
L |
8.3542524788148 |
L(r)(E,1)/r! |
Ω |
0.23771529169947 |
Real period |
R |
17.571971048349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119560x1 |
Quadratic twists by: -7 |