Atkin-Lehner |
2+ 5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bi |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
1766406250 = 2 · 58 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-325,875] |
[a1,a2,a3,a4,a6] |
Generators |
[1:23:1] |
Generators of the group modulo torsion |
j |
9765625/4522 |
j-invariant |
L |
3.8647021130155 |
L(r)(E,1)/r! |
Ω |
1.3324919447032 |
Real period |
R |
2.9003568415165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bx1 |
Quadratic twists by: 5 |