Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600c |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
13187610000000000 = 210 · 39 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60075,-1262250] |
[a1,a2,a3,a4,a6] |
Generators |
[2215:103600:1] |
Generators of the group modulo torsion |
j |
76136652/41875 |
j-invariant |
L |
6.6609350989471 |
L(r)(E,1)/r! |
Ω |
0.32612839428272 |
Real period |
R |
5.1060680380432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120600bj1 24120p1 |
Quadratic twists by: -3 5 |