Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920bq |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-1216864861470720 = -1 · 214 · 313 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24645,-2235555] |
[a1,a2,a3,a4,a6] |
Generators |
[50941533368568591604:162055651535053596251:260467815728382137] |
Generators of the group modulo torsion |
j |
-101043379262464/74271536955 |
j-invariant |
L |
5.98476683631 |
L(r)(E,1)/r! |
Ω |
0.18459036561083 |
Real period |
R |
32.421880830594 |
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 |
73920ht1 9240bf1 |
Quadratic twists by: -4 8 |