Atkin-Lehner |
2+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350l |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
519861518750000 = 24 · 58 · 77 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 5 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26075,1182125] |
[a1,a2,a3,a4,a6] |
j |
5019525360985/1330845488 |
j-invariant |
L |
2.9240698595362 |
L(r)(E,1)/r! |
Ω |
0.48734497659222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35350r1 |
Quadratic twists by: 5 |