Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350r |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
33271137200 = 24 · 52 · 77 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1043,9457] |
[a1,a2,a3,a4,a6] |
Generators |
[28:35:1] |
Generators of the group modulo torsion |
j |
5019525360985/1330845488 |
j-invariant |
L |
6.6426623141565 |
L(r)(E,1)/r! |
Ω |
1.0897364961533 |
Real period |
R |
0.21770211480368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35350l1 |
Quadratic twists by: 5 |