Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136q |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-31575350161152 = -1 · 28 · 34 · 77 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6452,184652] |
[a1,a2,a3,a4,a6] |
Generators |
[23:588:1] [86:1176:1] |
Generators of the group modulo torsion |
j |
986078000/1048383 |
j-invariant |
L |
13.524626725536 |
L(r)(E,1)/r! |
Ω |
0.43623728025081 |
Real period |
R |
1.9376821026904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50568b1 14448a1 |
Quadratic twists by: -4 -7 |