Atkin-Lehner |
2- 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150bd |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1118342802500000 = -1 · 25 · 57 · 72 · 113 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48838,4434531] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1917:1] [-1530:21661:8] |
Generators of the group modulo torsion |
j |
-824475687475609/71573939360 |
j-invariant |
L |
12.454684922133 |
L(r)(E,1)/r! |
Ω |
0.47875554339076 |
Real period |
R |
0.072263073469786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630f1 |
Quadratic twists by: 5 |