Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200n |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
458640000000 = 210 · 32 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4408,109312] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:300:1] [22:150:1] |
Generators of the group modulo torsion |
j |
592143556/28665 |
j-invariant |
L |
10.412431309672 |
L(r)(E,1)/r! |
Ω |
0.92582495304041 |
Real period |
R |
0.70291576680647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600ca1 21840n1 |
Quadratic twists by: -4 5 |