Atkin-Lehner |
3+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6519a |
Isogeny class |
Conductor |
6519 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-3109563 = -1 · 33 · 41 · 532 |
Discriminant |
Eigenvalues |
-2 3+ -2 2 3 -4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,36,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] [8:26:1] |
Generators of the group modulo torsion |
j |
5017776128/3109563 |
j-invariant |
L |
2.4666229213612 |
L(r)(E,1)/r! |
Ω |
1.4581734610588 |
Real period |
R |
0.84579200871272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104304r1 19557d1 |
Quadratic twists by: -4 -3 |