Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
544773694500000000 = 28 · 33 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18899708,-31618697088] |
[a1,a2,a3,a4,a6] |
Generators |
[19262924968380577135913:-20360566517159290920074836:17241697013145821] |
Generators of the group modulo torsion |
j |
12692020761488/9261 |
j-invariant |
L |
5.3446811157799 |
L(r)(E,1)/r! |
Ω |
0.07240787433797 |
Real period |
R |
36.906767146328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ce1 58800eh1 8400bb1 |
Quadratic twists by: -4 5 -7 |