Atkin-Lehner |
3+ 7+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116571b |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-7288427176005339 = -1 · 313 · 78 · 13 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 2 7+ -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8118,-4100524] |
[a1,a2,a3,a4,a6] |
Generators |
[2924:158147:1] |
Generators of the group modulo torsion |
j |
10262024192/1264298139 |
j-invariant |
L |
3.2213246010927 |
L(r)(E,1)/r! |
Ω |
0.19815158207696 |
Real period |
R |
5.4189569007272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998504804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116571l1 |
Quadratic twists by: -7 |