Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350i |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2545387558593750 = 2 · 33 · 510 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1219000,517515250] |
[a1,a2,a3,a4,a6] |
Generators |
[681:1603:1] |
Generators of the group modulo torsion |
j |
2656166199049/33750 |
j-invariant |
L |
2.235723856419 |
L(r)(E,1)/r! |
Ω |
0.41575801269178 |
Real period |
R |
2.6887321328386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050fb5 5070v5 150c5 |
Quadratic twists by: -3 5 13 |