Atkin-Lehner |
3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25575l |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
329677734375 = 32 · 510 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4563,-115758] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:59:1] |
Generators of the group modulo torsion |
j |
672451615081/21099375 |
j-invariant |
L |
4.5772744216755 |
L(r)(E,1)/r! |
Ω |
0.58199705819357 |
Real period |
R |
1.9661931092412 |
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 |
76725n2 5115d2 |
Quadratic twists by: -3 5 |