Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ee |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
129375000000 = 26 · 32 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40208,3089838] |
[a1,a2,a3,a4,a6] |
Generators |
[3063:982:27] |
Generators of the group modulo torsion |
j |
11502491200/207 |
j-invariant |
L |
10.115973470191 |
L(r)(E,1)/r! |
Ω |
0.95690300038611 |
Real period |
R |
5.2857883347401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400p1 55200bt1 110400cc1 |
Quadratic twists by: -4 8 5 |