Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150z |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-92120000 = -1 · 26 · 54 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -2 4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-475] |
[a1,a2,a3,a4,a6] |
Generators |
[10:15:1] |
Generators of the group modulo torsion |
j |
-60025/3008 |
j-invariant |
L |
3.2972145641549 |
L(r)(E,1)/r! |
Ω |
0.8352618240116 |
Real period |
R |
0.65792036280946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cg1 115150v1 |
Quadratic twists by: 5 -7 |