Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700n |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1805339340000000 = -1 · 28 · 36 · 57 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31800,2990500] |
[a1,a2,a3,a4,a6] |
Generators |
[120:950:1] |
Generators of the group modulo torsion |
j |
-1219600384/619115 |
j-invariant |
L |
6.3626946971073 |
L(r)(E,1)/r! |
Ω |
0.43783231326604 |
Real period |
R |
1.211021981959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300a1 23940s1 |
Quadratic twists by: -3 5 |