Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fw |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1.4522139928044E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417865,-588902423] |
[a1,a2,a3,a4,a6] |
Generators |
[88037708:771711381:85184] |
Generators of the group modulo torsion |
j |
-1970029788560652736/35454443183702235 |
j-invariant |
L |
6.2517177380087 |
L(r)(E,1)/r! |
Ω |
0.078917112907224 |
Real period |
R |
7.9218784219728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hd2 36960q1 |
Quadratic twists by: -4 8 |