Atkin-Lehner |
2- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97552l |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
170880 |
Modular degree for the optimal curve |
Δ |
-282772811776 = -1 · 212 · 7 · 133 · 672 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11557,-475059] |
[a1,a2,a3,a4,a6] |
Generators |
[132:531:1] |
Generators of the group modulo torsion |
j |
-41680861032448/69036331 |
j-invariant |
L |
7.2743274831437 |
L(r)(E,1)/r! |
Ω |
0.23020355964846 |
Real period |
R |
5.2665906426102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6097a1 |
Quadratic twists by: -4 |