Atkin-Lehner |
2- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103700l |
Isogeny class |
Conductor |
103700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
2150738000 = 24 · 53 · 172 · 612 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380,-1775] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:17:1] |
Generators of the group modulo torsion |
j |
3034202112/1075369 |
j-invariant |
L |
6.6725039636096 |
L(r)(E,1)/r! |
Ω |
1.1129525113517 |
Real period |
R |
0.99921962840683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103700j1 |
Quadratic twists by: 5 |