Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520g |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
5098317006250000 = 24 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 -5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173563,-27618487] |
[a1,a2,a3,a4,a6] |
Generators |
[-50667266856:91209885625:206425071] |
Generators of the group modulo torsion |
j |
44302512384/390625 |
j-invariant |
L |
6.8368814316855 |
L(r)(E,1)/r! |
Ω |
0.23402718947121 |
Real period |
R |
14.607023754662 |
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 |
6760e1 54080di1 121680br1 67600t1 |
Quadratic twists by: -4 8 -3 5 |