Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
103428f |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-413466466892544 = -1 · 28 · 39 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 3 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-693576,-222327612] |
[a1,a2,a3,a4,a6] |
Generators |
[49967070015:9053950758741:1520875] |
Generators of the group modulo torsion |
j |
-1517101056/17 |
j-invariant |
L |
9.0606628589927 |
L(r)(E,1)/r! |
Ω |
0.082717186255159 |
Real period |
R |
18.256308572206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103428c1 612b2 |
Quadratic twists by: -3 13 |