Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ce |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
429235200000000 = 216 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -3 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24833,1137537] |
[a1,a2,a3,a4,a6] |
Generators |
[41:432:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
6.1397350729483 |
L(r)(E,1)/r! |
Ω |
0.49640415142438 |
Real period |
R |
1.5460525060694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400iv1 13800bc1 110400cz1 |
Quadratic twists by: -4 8 5 |