Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
72324u |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
294174720 |
Modular degree for the optimal curve |
Δ |
-1.7046714612289E+33 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19393897719,-2242022492545346] |
[a1,a2,a3,a4,a6] |
Generators |
[89387038594:67003806347856:148877] |
Generators of the group modulo torsion |
j |
-36742041300293123413614928/77639898106449639295461 |
j-invariant |
L |
3.5634564902824 |
L(r)(E,1)/r! |
Ω |
0.0059978946781571 |
Real period |
R |
5.3046239577966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108j1 10332e1 |
Quadratic twists by: -3 -7 |