Atkin-Lehner |
2+ 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650a |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-136525664062500 = -1 · 22 · 3 · 510 · 23 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3645946000,-84736641663500] |
[a1,a2,a3,a4,a6] |
Generators |
[36972321214109428824388969980979135347270330664358487025221870:1225799131514939911476574289076854351456837973628955804268507440:526460218888757770243568750435023733451917176233408908203] |
Generators of the group modulo torsion |
j |
-343031800169700398553531644161/8737642500 |
j-invariant |
L |
3.7566477642793 |
L(r)(E,1)/r! |
Ω |
0.0097144227927865 |
Real period |
R |
96.677070897842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bm2 |
Quadratic twists by: 5 |