Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710s |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
561712609469700 = 22 · 34 · 52 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-204762,35559936] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:6519:1] |
Generators of the group modulo torsion |
j |
39335220262729/23271300 |
j-invariant |
L |
5.1944113279325 |
L(r)(E,1)/r! |
Ω |
0.51223674002745 |
Real period |
R |
1.2675807218426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630l1 |
Quadratic twists by: 17 |