Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088bv |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-10694010096 = -1 · 24 · 311 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15357,-732517] |
[a1,a2,a3,a4,a6] |
Generators |
[514:11277:1] |
Generators of the group modulo torsion |
j |
-34339609640704/916839 |
j-invariant |
L |
5.1163724402331 |
L(r)(E,1)/r! |
Ω |
0.21443331879717 |
Real period |
R |
3.9766615786302 |
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 |
2772e1 44352eg1 3696p1 77616gd1 |
Quadratic twists by: -4 8 -3 -7 |