Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200bk |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1221120 |
Modular degree for the optimal curve |
Δ |
2143828800000000 = 212 · 32 · 58 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -5 2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-388333,92987963] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3900:1] |
Generators of the group modulo torsion |
j |
4047787840000/1339893 |
j-invariant |
L |
10.416375753301 |
L(r)(E,1)/r! |
Ω |
0.45417221792714 |
Real period |
R |
1.9112382535943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999955681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200p1 127200ci1 |
Quadratic twists by: -4 5 |