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 |
-115843416000000000 = -1 · 212 · 3 · 59 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57125,-17221875] |
[a1,a2,a3,a4,a6] |
Generators |
[235208:3636055:512] |
Generators of the group modulo torsion |
j |
-273359449/1536000 |
j-invariant |
L |
2.235723856419 |
L(r)(E,1)/r! |
Ω |
0.13858600423059 |
Real period |
R |
8.0661963985157 |
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 |
76050fb3 5070v3 150c3 |
Quadratic twists by: -3 5 13 |