Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904w |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1472019162174849024 = 232 · 34 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5617089,-5121865791] |
[a1,a2,a3,a4,a6] |
Generators |
[159332670:3026494989:54872] |
Generators of the group modulo torsion |
j |
74768347616680342513/5615307472896 |
j-invariant |
L |
5.146456401429 |
L(r)(E,1)/r! |
Ω |
0.098067178206431 |
Real period |
R |
13.119721846681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35904cr2 1122k2 107712y2 |
Quadratic twists by: -4 8 -3 |