Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119064v |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
216576 |
Modular degree for the optimal curve |
Δ |
-31773670503168 = -1 · 28 · 3 · 114 · 414 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11- -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,807,-270789] |
[a1,a2,a3,a4,a6] |
Generators |
[65:246:1] |
Generators of the group modulo torsion |
j |
15488000/8477283 |
j-invariant |
L |
9.23248561249 |
L(r)(E,1)/r! |
Ω |
0.3078290434977 |
Real period |
R |
1.2496770708318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119064e1 |
Quadratic twists by: -11 |