Atkin-Lehner |
2+ 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350v |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2511360 |
Modular degree for the optimal curve |
Δ |
-422213226516321300 = -1 · 22 · 36 · 52 · 174 · 375 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1033146,405315568] |
[a1,a2,a3,a4,a6] |
Generators |
[-1069:17517:1] [263:12189:1] |
Generators of the group modulo torsion |
j |
-4878296522603073156865/16888529060652852 |
j-invariant |
L |
8.9614915585129 |
L(r)(E,1)/r! |
Ω |
0.29966787334135 |
Real period |
R |
0.12460310725642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94350bq1 |
Quadratic twists by: 5 |