Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150i |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
824194335937500 = 22 · 32 · 514 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27275,-1059375] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:875:1] |
Generators of the group modulo torsion |
j |
143622619359409/52748437500 |
j-invariant |
L |
4.3368894687441 |
L(r)(E,1)/r! |
Ω |
0.38295332118394 |
Real period |
R |
1.4156064293102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bc2 |
Quadratic twists by: 5 |