Atkin-Lehner |
3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545u |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
251666210604375 = 312 · 54 · 73 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28330,-1671475] |
[a1,a2,a3,a4,a6] |
Generators |
[305:4100:1] [-890:3055:8] |
Generators of the group modulo torsion |
j |
7331119078549447/733720730625 |
j-invariant |
L |
6.8809094636246 |
L(r)(E,1)/r! |
Ω |
0.37036398417907 |
Real period |
R |
0.38705783125736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635q2 34545e2 |
Quadratic twists by: -3 -7 |