Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dt |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-8227114406784000 = -1 · 210 · 38 · 53 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38915,3224483] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:1365:1] |
Generators of the group modulo torsion |
j |
6364491337435136/8034291412875 |
j-invariant |
L |
9.2552789225263 |
L(r)(E,1)/r! |
Ω |
0.27808684181915 |
Real period |
R |
0.23112481653511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ff1 10920c1 |
Quadratic twists by: -4 8 |