Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14608d |
Isogeny class |
Conductor |
14608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-103049740288 = -1 · 214 · 11 · 833 |
Discriminant |
Eigenvalues |
2- 2 0 1 11- 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-888,18800] |
[a1,a2,a3,a4,a6] |
Generators |
[74:594:1] |
Generators of the group modulo torsion |
j |
-18927429625/25158628 |
j-invariant |
L |
7.1896797050192 |
L(r)(E,1)/r! |
Ω |
0.95739266373579 |
Real period |
R |
3.7548228523941 |
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 |
1826a1 58432m1 |
Quadratic twists by: -4 8 |