Atkin-Lehner |
2+ 3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127794a |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1072512 |
Modular degree for the optimal curve |
Δ |
10389049314936192 = 27 · 34 · 198 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-102170,11531412] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:4979:1] |
Generators of the group modulo torsion |
j |
6944991625/611712 |
j-invariant |
L |
2.6093014302239 |
L(r)(E,1)/r! |
Ω |
0.39609217137902 |
Real period |
R |
1.0979352986558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998902177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127794bu1 |
Quadratic twists by: -19 |