Atkin-Lehner |
2- 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107300c |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
429200 = 24 · 52 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -4 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,73] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-3:1] [-3:13:1] |
Generators of the group modulo torsion |
j |
15573760/1073 |
j-invariant |
L |
8.2490371721065 |
L(r)(E,1)/r! |
Ω |
2.9225494958802 |
Real period |
R |
0.94084944035094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107300n1 |
Quadratic twists by: 5 |