Atkin-Lehner |
2+ 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120a |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302976 |
Modular degree for the optimal curve |
Δ |
-994322654000 = -1 · 24 · 53 · 136 · 103 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 4 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1258,-50957] |
[a1,a2,a3,a4,a6] |
Generators |
[29355:443794:125] |
Generators of the group modulo torsion |
j |
-13760862418944/62145165875 |
j-invariant |
L |
3.5899667469525 |
L(r)(E,1)/r! |
Ω |
0.36365657683933 |
Real period |
R |
4.9359298881741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53560e1 |
Quadratic twists by: -4 |