Atkin-Lehner |
2- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120j |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
74151034880000 = 219 · 54 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 1 13- -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11856,-270400] |
[a1,a2,a3,a4,a6] |
Generators |
[338:5850:1] |
Generators of the group modulo torsion |
j |
45000254125009/18103280000 |
j-invariant |
L |
11.173929915684 |
L(r)(E,1)/r! |
Ω |
0.47377046475289 |
Real period |
R |
1.9654260714018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390g1 |
Quadratic twists by: -4 |