Atkin-Lehner |
3+ 5+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
27255b |
Isogeny class |
Conductor |
27255 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
30753370035 = 34 · 5 · 233 · 792 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-324438,-71264187] |
[a1,a2,a3,a4,a6] |
Generators |
[10085658:-236459307:10648] |
Generators of the group modulo torsion |
j |
3776773587823535436649/30753370035 |
j-invariant |
L |
6.0882055507842 |
L(r)(E,1)/r! |
Ω |
0.20003981844444 |
Real period |
R |
10.144989462811 |
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 |
81765j2 |
Quadratic twists by: -3 |