Atkin-Lehner |
7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7511c |
Isogeny class |
Conductor |
7511 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
992 |
Modular degree for the optimal curve |
Δ |
52577 = 72 · 29 · 37 |
Discriminant |
Eigenvalues |
-1 -2 -4 7- -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [-2:9:1] |
Generators of the group modulo torsion |
j |
887503681/52577 |
j-invariant |
L |
2.1786253966218 |
L(r)(E,1)/r! |
Ω |
3.4929359762559 |
Real period |
R |
1.2474465100019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176l1 67599g1 52577b1 |
Quadratic twists by: -4 -3 -7 |