Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904t |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
914438688768 = 212 · 35 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2793,34281] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:136:1] |
Generators of the group modulo torsion |
j |
588480472000/223251633 |
j-invariant |
L |
4.096937922489 |
L(r)(E,1)/r! |
Ω |
0.80721624783947 |
Real period |
R |
1.2688477014226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904be1 17952g1 107712u1 |
Quadratic twists by: -4 8 -3 |