Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960cs |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-223199198576640 = -1 · 217 · 39 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 13- 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,718794] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1782:1] |
Generators of the group modulo torsion |
j |
-27/2768480 |
j-invariant |
L |
7.435606069938 |
L(r)(E,1)/r! |
Ω |
0.44460536495587 |
Real period |
R |
1.3936715340374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12870bk1 102960cc1 |
Quadratic twists by: -4 -3 |