Atkin-Lehner |
3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125097j |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
36275034487369797 = 38 · 710 · 232 · 37 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5119129,4457586188] |
[a1,a2,a3,a4,a6] |
Generators |
[1292:236:1] [-79:69764:1] |
Generators of the group modulo torsion |
j |
126102500563463851393/308332705653 |
j-invariant |
L |
7.8597208881437 |
L(r)(E,1)/r! |
Ω |
0.31675645887892 |
Real period |
R |
1.5508209586112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17871a3 |
Quadratic twists by: -7 |