Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40300d |
Isogeny class |
Conductor |
40300 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-44244759052000000 = -1 · 28 · 56 · 135 · 313 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 1 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6800,10122500] |
[a1,a2,a3,a4,a6] |
Generators |
[400:8450:1] |
Generators of the group modulo torsion |
j |
-8693415936/11061189763 |
j-invariant |
L |
6.237943175913 |
L(r)(E,1)/r! |
Ω |
0.29027795467117 |
Real period |
R |
0.71631839707784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1612a1 |
Quadratic twists by: 5 |