Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gk |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
84641094720000000 = 212 · 33 · 57 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408408,99343188] |
[a1,a2,a3,a4,a6] |
Generators |
[294:2184:1] |
Generators of the group modulo torsion |
j |
117713838907729/1322517105 |
j-invariant |
L |
9.7853826953448 |
L(r)(E,1)/r! |
Ω |
0.34252358849377 |
Real period |
R |
0.39678462299723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825b1 21840ba1 |
Quadratic twists by: -4 5 |