Atkin-Lehner |
2+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398c |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
68160 |
Modular degree for the optimal curve |
Δ |
-339076192 = -1 · 25 · 7 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 6 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,166,-268] |
[a1,a2,a3,a4,a6] |
Generators |
[57:238:27] |
Generators of the group modulo torsion |
j |
17546087/11872 |
j-invariant |
L |
9.0184862127033 |
L(r)(E,1)/r! |
Ω |
0.96965671542249 |
Real period |
R |
3.100233332236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125398s1 |
Quadratic twists by: 13 |