Atkin-Lehner |
5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112225h |
Isogeny class |
Conductor |
112225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12847920 |
Modular degree for the optimal curve |
Δ |
-1.0627552498553E+22 |
Discriminant |
Eigenvalues |
-1 2 5- -4 0 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74407513,-247124212094] |
[a1,a2,a3,a4,a6] |
j |
-4286875 |
j-invariant |
L |
0.15420860243618 |
L(r)(E,1)/r! |
Ω |
0.025701548152389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112225b1 112225g1 |
Quadratic twists by: 5 -67 |