Atkin-Lehner |
2+ 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13130c |
Isogeny class |
Conductor |
13130 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1854317606502400000 = -1 · 218 · 55 · 133 · 1013 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-98488,-66595962] |
[a1,a2,a3,a4,a6] |
Generators |
[1929:82235:1] |
Generators of the group modulo torsion |
j |
-105649471331770462201/1854317606502400000 |
j-invariant |
L |
3.1947414071551 |
L(r)(E,1)/r! |
Ω |
0.11343645940596 |
Real period |
R |
0.93877559998054 |
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 |
105040y2 118170ba2 65650n2 |
Quadratic twists by: -4 -3 5 |