Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
75295a |
Isogeny class |
Conductor |
75295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
603707406142671875 = 56 · 11 · 378 |
Discriminant |
Eigenvalues |
1 -2 5+ -4 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-212224,-4327353] |
[a1,a2,a3,a4,a6] |
Generators |
[-1290:41203:8] |
Generators of the group modulo torsion |
j |
411996867121/235296875 |
j-invariant |
L |
3.6782908912447 |
L(r)(E,1)/r! |
Ω |
0.24084390773048 |
Real period |
R |
7.6362547990281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2035c2 |
Quadratic twists by: 37 |