Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1360c |
Isogeny class |
Conductor |
1360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-115600000000 = -1 · 210 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3520,80868] |
[a1,a2,a3,a4,a6] |
Generators |
[16:170:1] |
Generators of the group modulo torsion |
j |
-4711672753924/112890625 |
j-invariant |
L |
2.0504189115722 |
L(r)(E,1)/r! |
Ω |
1.0497386107743 |
Real period |
R |
0.24415827075034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
680c2 5440s2 12240h2 6800c2 |
Quadratic twists by: -4 8 -3 5 |