Atkin-Lehner |
2+ 5- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850g |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1520000 |
Modular degree for the optimal curve |
Δ |
-976564473031250000 = -1 · 24 · 59 · 37 · 615 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -3 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20701,-47560952] |
[a1,a2,a3,a4,a6] |
Generators |
[383:662:1] |
Generators of the group modulo torsion |
j |
-502270291349/500001010192 |
j-invariant |
L |
6.2501240542289 |
L(r)(E,1)/r! |
Ω |
0.12553531543334 |
Real period |
R |
2.4893887453078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112850t1 |
Quadratic twists by: 5 |