Atkin-Lehner |
2+ 11+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
121264c |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-225921622784 = -1 · 28 · 11 · 134 · 532 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 11+ 13- -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1281,-29317] |
[a1,a2,a3,a4,a6] |
Generators |
[362:689:8] |
Generators of the group modulo torsion |
j |
-908803769344/882506339 |
j-invariant |
L |
5.2495182685295 |
L(r)(E,1)/r! |
Ω |
0.3838230005984 |
Real period |
R |
1.7096155687317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60632c1 |
Quadratic twists by: -4 |