Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200a |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-10720000000000 = -1 · 214 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 0 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2500,-150000] |
[a1,a2,a3,a4,a6] |
Generators |
[297228:2318352:4913] |
Generators of the group modulo torsion |
j |
10800/67 |
j-invariant |
L |
6.9167741306418 |
L(r)(E,1)/r! |
Ω |
0.36020969732801 |
Real period |
R |
9.6010382199193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cj1 13400c1 107200bh1 |
Quadratic twists by: -4 8 5 |