Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050s |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-124304572000000 = -1 · 28 · 56 · 75 · 432 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3020,-533353] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1165:1] |
Generators of the group modulo torsion |
j |
195011097399/7955492608 |
j-invariant |
L |
7.0634165501394 |
L(r)(E,1)/r! |
Ω |
0.28212967869873 |
Real period |
R |
0.62590158741168 |
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 |
120400bc1 602a1 105350cb1 |
Quadratic twists by: -4 5 -7 |