Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
75140a |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
287280 |
Modular degree for the optimal curve |
Δ |
-6708248177096960 = -1 · 28 · 5 · 137 · 174 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -1 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32657,3220038] |
[a1,a2,a3,a4,a6] |
Generators |
[-794461656294:2365490152038:9841618207] |
Generators of the group modulo torsion |
j |
180142804656/313742585 |
j-invariant |
L |
6.0010741528368 |
L(r)(E,1)/r! |
Ω |
0.28883272684905 |
Real period |
R |
20.776988183798 |
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 |
75140f1 |
Quadratic twists by: 17 |