Atkin-Lehner |
2+ 3+ 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298a |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
697919184144 = 24 · 39 · 74 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2283,12725] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:241:1] [-23:241:1] |
Generators of the group modulo torsion |
j |
66873977379/35457968 |
j-invariant |
L |
7.3482487477316 |
L(r)(E,1)/r! |
Ω |
0.79313336013637 |
Real period |
R |
4.6324168924522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298u1 |
Quadratic twists by: -3 |