Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490r |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
295511040 = 210 · 32 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-636,5853] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:89:1] |
Generators of the group modulo torsion |
j |
28453633725889/295511040 |
j-invariant |
L |
6.2038387899021 |
L(r)(E,1)/r! |
Ω |
1.7361430766899 |
Real period |
R |
0.35733453499294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470l1 87450r1 |
Quadratic twists by: -3 5 |