Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954c |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3020968259480916 = -1 · 22 · 36 · 198 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -5 -3 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-251157,-48623823] |
[a1,a2,a3,a4,a6] |
Generators |
[2091:91551:1] |
Generators of the group modulo torsion |
j |
-1752113656408136523481/3020968259480916 |
j-invariant |
L |
2.0691659368374 |
L(r)(E,1)/r! |
Ω |
0.10661986611822 |
Real period |
R |
0.60646704859367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55632t1 20862x1 |
Quadratic twists by: -4 -3 |