Atkin-Lehner |
5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
35695b |
Isogeny class |
Conductor |
35695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-339174211255 = -1 · 5 · 117 · 592 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2241,49336] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-1261:8] [3:205:1] |
Generators of the group modulo torsion |
j |
-702595369/191455 |
j-invariant |
L |
3.1201411583338 |
L(r)(E,1)/r! |
Ω |
0.91276834219804 |
Real period |
R |
1.7091637681139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3245a1 |
Quadratic twists by: -11 |