Atkin-Lehner |
2+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
129514d |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-259028 = -1 · 22 · 7 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11+ 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [-1:5:1] |
Generators of the group modulo torsion |
j |
783/308 |
j-invariant |
L |
7.785101510508 |
L(r)(E,1)/r! |
Ω |
2.4141625017486 |
Real period |
R |
1.612381416053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129514m1 |
Quadratic twists by: 29 |