Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440u |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-29744000000000 = -1 · 213 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7800,-370448] |
[a1,a2,a3,a4,a6] |
Generators |
[234:3250:1] |
Generators of the group modulo torsion |
j |
-12814546750201/7261718750 |
j-invariant |
L |
4.1893721663843 |
L(r)(E,1)/r! |
Ω |
0.24751463838542 |
Real period |
R |
0.47015986539359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1430d1 45760bb1 102960df1 57200bm1 |
Quadratic twists by: -4 8 -3 5 |