Atkin-Lehner |
2+ 5- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610f |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
1924563200 = 28 · 52 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-333,968] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:55:1] [-13:62:1] |
Generators of the group modulo torsion |
j |
4066120948681/1924563200 |
j-invariant |
L |
4.2948879944066 |
L(r)(E,1)/r! |
Ω |
1.3194247118335 |
Real period |
R |
0.81378042185486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113050cf1 |
Quadratic twists by: 5 |