Atkin-Lehner |
2- 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350bd |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9613100250000 = 24 · 34 · 56 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5363,-26719] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:178:1] [-55:352:1] |
Generators of the group modulo torsion |
j |
1091772468073/615238416 |
j-invariant |
L |
13.041136120043 |
L(r)(E,1)/r! |
Ω |
0.60071634336933 |
Real period |
R |
2.7136635003685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4134e2 |
Quadratic twists by: 5 |