Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350i |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5498037126562500 = 22 · 36 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-78250,7600000] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:3400:1] |
Generators of the group modulo torsion |
j |
702595369/72900 |
j-invariant |
L |
2.235723856419 |
L(r)(E,1)/r! |
Ω |
0.41575801269178 |
Real period |
R |
1.3443660664193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76050fb2 5070v2 150c2 |
Quadratic twists by: -3 5 13 |