Atkin-Lehner |
3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11985c |
Isogeny class |
Conductor |
11985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
4199575460625 = 34 · 54 · 17 · 474 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18666,968838] |
[a1,a2,a3,a4,a6] |
Generators |
[58:263:1] |
Generators of the group modulo torsion |
j |
719248476695138209/4199575460625 |
j-invariant |
L |
2.4330006266856 |
L(r)(E,1)/r! |
Ω |
0.78338385147944 |
Real period |
R |
3.1057579526191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35955h1 59925n1 |
Quadratic twists by: -3 5 |