Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400g |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-5875200 = -1 · 29 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] [41:266:1] |
Generators of the group modulo torsion |
j |
29160/17 |
j-invariant |
L |
11.002150406378 |
L(r)(E,1)/r! |
Ω |
1.4147617715287 |
Real period |
R |
1.9441701478882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400e1 122400cd1 122400cm1 |
Quadratic twists by: -4 -3 5 |