Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960ef |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-12809871360 = -1 · 213 · 37 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,11234] |
[a1,a2,a3,a4,a6] |
Generators |
[25:72:1] |
Generators of the group modulo torsion |
j |
-24137569/4290 |
j-invariant |
L |
6.7769568629187 |
L(r)(E,1)/r! |
Ω |
1.2141397772016 |
Real period |
R |
0.69771176721221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12870bb1 34320bf1 |
Quadratic twists by: -4 -3 |