Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480ca |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.6876889136888E+23 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19687400,-13649098000] |
[a1,a2,a3,a4,a6] |
Generators |
[1637090:83199670:2197] |
Generators of the group modulo torsion |
j |
35739174545711399/24087491072000 |
j-invariant |
L |
4.6327441893739 |
L(r)(E,1)/r! |
Ω |
0.052260126095195 |
Real period |
R |
7.3873150428042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310f2 74480bp2 |
Quadratic twists by: -4 -7 |