Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592l |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5652480 |
Modular degree for the optimal curve |
Δ |
-1.9512982203753E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39354465,-95049038324] |
[a1,a2,a3,a4,a6] |
Generators |
[57599513072907410759472285207336721608715:41836381678816966040912236568538352311142842:109165780845643499708159097070338383] |
Generators of the group modulo torsion |
j |
-144476844676617188728000/41823092857837347 |
j-invariant |
L |
7.0283388336704 |
L(r)(E,1)/r! |
Ω |
0.030137936537336 |
Real period |
R |
58.301427053396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592bb1 24864y1 |
Quadratic twists by: -4 -3 |