Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723q |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-5.0314243613067E+22 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1394761,10810067710] |
[a1,a2,a3,a4,a6] |
j |
-2550558824302680073/427664014254832509 |
j-invariant |
L |
0.73678810664716 |
L(r)(E,1)/r! |
Ω |
0.092098513330907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92169v3 4389j4 |
Quadratic twists by: -3 -7 |