Atkin-Lehner |
2- 3+ 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340b |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
4180862683890000 = 24 · 39 · 54 · 23 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216432,38630169] |
[a1,a2,a3,a4,a6] |
Generators |
[300:837:1] |
Generators of the group modulo torsion |
j |
3560220159639552/13275614375 |
j-invariant |
L |
5.0977253910277 |
L(r)(E,1)/r! |
Ω |
0.44033112958978 |
Real period |
R |
0.48237612531356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128340a1 |
Quadratic twists by: -3 |