Atkin-Lehner |
2- 3+ 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934bd |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-139635522 = -1 · 2 · 33 · 13 · 193 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 6 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119,785] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:245:8] |
Generators of the group modulo torsion |
j |
-6848175699/5171686 |
j-invariant |
L |
13.742058226334 |
L(r)(E,1)/r! |
Ω |
1.6913083463484 |
Real period |
R |
4.0625525577344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934d1 |
Quadratic twists by: -3 |