Atkin-Lehner |
3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37845c |
Isogeny class |
Conductor |
37845 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
738476260973352225 = 310 · 52 · 298 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-246150,-22300889] |
[a1,a2,a3,a4,a6] |
j |
3803721481/1703025 |
j-invariant |
L |
4.0226458118559 |
L(r)(E,1)/r! |
Ω |
0.2234803228791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12615c2 1305d2 |
Quadratic twists by: -3 29 |