Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bi |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
76176985248000 = 28 · 35 · 53 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137788,19727872] |
[a1,a2,a3,a4,a6] |
Generators |
[192:560:1] |
Generators of the group modulo torsion |
j |
9040887701683472/2380530789 |
j-invariant |
L |
6.418843790655 |
L(r)(E,1)/r! |
Ω |
0.59748755013929 |
Real period |
R |
1.7905097740898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bf1 109200ch1 |
Quadratic twists by: -4 5 |